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F (g(x)) f ( g ( x)) Evaluate f (g(x)) f ( g ( x)) by substituting in the value of g g into f f f (x2) = 3(x2)−4 f ( x 2) = 3 ( x 2) 4 Simplify each term Tap for more steps Apply the distributive property f ( x 2) = 3 x 3 ⋅ 2 − 4 f ( x 2) = 3 x 3 ⋅ 2 4 Multiply 3 3 by 2 2 f ( x 2) = 3 x 6 − 4 f ( x 2Professionals For math, science, nutrition, historyF(x) = 1 (x 2)2 y = 1=(x 2)2 lim x!2 1=(x 2)2 does not exist because there is no number L that the function 1=(x 2)2 gets closer to as x approaches 2;

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F(x)=x^2 what is g(x) (1 4) apex-Jan 03, 19The graph has been stretched compared to that of f (x) This is a dilation A dilation by a factor less than 1 stretches the graph;Knowledgebase, relied on by millions of students &

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Apr 14, 18Let f(x)=x21/x2 and g(x)=x1/x,x∈ R {1,0,1} If h(x)=f(x)/g(x), then the local minimum value of h(x) is (1) 3 (2) – 3 (3) − 2√2 (4) 2√2We just need to find the answer choice for which plugging in x yields the same value as plugging in 1 – x Let's say x is 4 Then the function must yield the same value for 4 as for 1 – 4Divide f2, the coefficient of the x term, by 2 to get \frac{f}{2}1 Then add the square of \frac{f}{2}1 to both sides of the equation This step makes the left hand side of the equation a perfect square

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Compute answers using Wolfram's breakthrough technology &Indeed, the values of the function 1=(x 2)2 can be made as large as we'd like by taking x su ciently close to 2 In other words, the function grows without bound as x approaches 2

Which function is the inverse of f (x) = 2x 3?23 Solve g3f = 0 Tiger recognizes that we have here an equation of a straight line Such an equation is usually written y=mxb (y=mxc in the UK) y=mxb is the formula of a straight line drawn on Cartesian coordinate system in which y is the vertical axis and x the horizontal axis In this formula y tells us how far up the line goesDec 21, 26 ∑1 i = 504i3 In Exercises 2732, a definite integral ∫b af(x)dx is given (a) Graph f(x) on a,b (b) Add to the sketch rectangles using the provided rule (c) Approximate ∫b af(x)dx by summing the areas of the rectangles 27 ∫3 − 3x2dx, with 6 rectangles using the Left Hand Rule

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Knowledgebase, relied on by millions of students &(x4) 1 = x4 Now, applying the Square Root Principle to Eq #221 we get x4 = √ 11 Add 4 to both sides to obtain x = 4 √ 11 Since a square root has two values, one positive and the other negative x 2 8x 5 = 0 has two solutions x = 4 √ 11 or x = 4 √ 11 Solve Quadratic Equation using the Quadratic Formula 23 Solving x 2Y=\frac{x}{x^26x8} f(x)=\sqrt{x3} f(x)=\cos(2x5) f(x)=\sin(3x) functionscalculator f\left(x\right)=x^3 en Related Symbolab blog posts Functions A function basically relates an input to an output, there's an input, a relationship and an output For every input

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May 11, 16Explanation The problem with this type of question is often the confusion that results from two different uses of x If instead we write XXXf (w) = w2 −w then there is less difficulty in replacing w with g(x) XXXf (g(x)) = g(x)2 − g(x) and then replacing g(x) with 3x 1 XXXf (g(x)) = (3x 1)2 − (3x 1)F(g(x)) = 2*(x 3)math^2/math 7 y = 2*(x 3)math^2 /math 7 y 7 = 2*(x 3)math^2/math 7 7 (y 7)/2 = (2*(x 3)math^2/math)/2 (y 7)/2Ok, so what does f (x) = f (1x) mean?

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The dependent variable is any value that the function can take when the independent variable is entered There are many types of functions, including linear, quadratic, radical, absoluteIf the blue is f(x)=x 2, then the red must be answer choices g(x)=x 25 g(x)=x 2 5 g(x)=(x5) 2 g(x)=(x5) 2 s Question 39 SURVEY 1 seconds Q g(x)=f(x)4 Describe the transformation to f(x) that results in g(x) answer choices f(x) has been translated down 4 f(x) has been translated up 4 sProfessionals For math, science, nutrition, history

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Now up your study game with Learn mode− 5 ≤ x 2 2 x 3 x 2 a x b ≤ 4 As the denominator is positive, this is equivalent to − 5 x 2 − 1 0 x − 1 5 ≤ x 2 a x b ≤ 4 x 2 8 x 1 2 which can be considered as two quadratic inequalities,Start studying APEX Algebra 2 343 Quiz Composition of Functions Learn vocabulary, terms, and more with flashcards, games, and other study tools

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Compute answers using Wolfram's breakthrough technology &Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and moreMay 22, 18(fg)(x) = x^24x4 add them together f(x) g(x) (4x1)(x^25) 4x1x^25 x^24x4 (fg)(x) = x^24x4

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Oct 02, 17Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers Visit Stack ExchangeClick here👆to get an answer to your question ️ If f(x) = x^2 and g(x) = 2^x , find solution set of fog(x) = gof(x)Aug 04, 16=13 f(x)=2x1 or f(4)=2(4)1 or f(4)=81 or f(4)=9 g(x)=2x5 or gf(4)=g(9) or g(9)=2(9)5 or g(9)=185 or g(9)=13 How do you write the total cost of oranges in function notation, if each orange cost $3?

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Dec 21, 26 A property of logarithms is that logax = logbx logba, for all bases a, b>0, ≠ 1 (a) Rewrite this identity when b = e, ie, using logex = lnx (b) Use part (a) to find the derivative of y = logax (c) Give the derivative of y = log10x In Exercises 2732, compute the first four derivatives of the given functionAt x=3, g(x)=27 Hence, this option is incorrect 3 g(x)= x²/3 at x=3, g(x)=3 Hence, this option is incorrect 4 g(x)= at x=3, g(x)=1Compute answers using Wolfram's breakthrough technology &

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Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with stepbystep explanations, just like a math tutorThis means it is a fractional dilation factor Since the graph passes through (2, 2), we can plug in the xvalue g (2) = 1/2 (2²) = 1/2 (4) = 2 diavinad8 and 24 more users found this answer helpfulThe graphs of f (x) &

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Knowledgebase, relied on by millions of students &Click card to see definition 👆 Tap card to see definition 👆 (infinity, 2) Click again to see term 👆 Tap again to see term 👆 which expression is equivalent to (fg) (4) Click card to see definition 👆Aug 27, 17(Matching Type) Given f(x)=x2 and g(x)=x2−4 match the expression to its simplification operation x 2 Answer 1 x2 x 2 Answer 2 1/x2 Answer 3 x2 x 6 Answer 4 x2 2 Answer 5 x3 2x2 4x 8 Answer 6

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Which statement is true about the discontinuities of the function f(x)?F(x)= x^24/x^3x^22x C There are asymptotes at x = 0 and x = 1 and a hole at (2,2/3) unit 3 pre calc apex 70 terms ihatema1h CUMULATIVE EXAM 25 terms Ryan_Anderson702 Evaluating Quadratic Functions, Set 8 terms Media4Math OTHER SETS BY THIS CREATORCompute answers using Wolfram's breakthrough technology &

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Jan 11, If g(x) = x2 x – 1 and g(f(x)) = 4x2 – 10x 5, then find f (5/4) (1) 1/2 (2) 1/2 (3) 1/3 (4) 1/3 The value of c in the Lagrange's mean value theorem for the function f(x) = x^3 – 4x^2 8x 11, when x ∈ 0, 1 isFind f(g(x)) f(x)=x^24 ;Professionals For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music WolframAlpha brings expertlevel knowledge and

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If mc0111jpg and mc0112jpg, which expression could be used to verify g (x) is the inverse of f (x)?Author has 46K answers and 2M answer views This is simple provided you know about the composition of functions Here f (x) = 2x 5 = y (let), then g (f (x)) = g (y) = cos (y/2) 3y = cos ( (2x 5)/2) 3 (2x 5) = cos (x 5/2) 6x 15 113K viewsSpeaking of linear independence "on the real line" is peculiar These are functions and they don't "live" on the real line They are, however, members of various vector spaces over the real numbers, for example the space of all realvalued functio

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G(x) → "g of x" → "operation(s), g, applied to a given quantity or value , x" "g(x) = x1" tells you to simply subtract 1 from whatever xvalue is given g(5)= 5–1=4 g(6)= 6–1=5 g(9)= 9–1=8 g(x)=x1 f(x) → "f of x" → "operations, f, applied to a gNov 15, 18g(x)= Stepbystep explanation We are given that f(x)=x²Set up the composite result function Evaluate by substituting in the value of into Simplify each term Tap for more steps Rewrite as Expand using the FOIL Method Tap for more steps Apply the distributive property Apply the distributive property

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A composite function is a function which is made by combining two or more than two functions For example, if f(x) f ( x) and g(x) g ( x) are two functions, then we can define two compositeYou just studied 10 terms!Knowledgebase, relied on by millions of students &

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Dec 21, Figure 681 Graphing f(x) = 1 1 x2 When we defined the definite integral ∫b af(x) dx, we made two stipulations The interval over which we integrated, a, b, was a finite interval, and The function f(x) was continuous on a, b (ensuring that the range of f was finite) In this section we consider integrals where one or both of theJan 22, If g(x) = x2 x 1 and (gof)(x) = 4x2 10x 5, then f(5/4) is equal to (1) 3/2 (2) 1/2 (3) 3/2 (4) 1/2 Welcome to Sarthaks eConnect A unique platform where students can interact with teachers/experts/students to get solutions to their queriesSolve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and more

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Algebra Find the Domain and Range f (x)= (1/4)^x f (x) = ( 1 4)x f ( x) = ( 1 4) x The domain of the expression is all real numbers except where the expression is undefined In this case, there is no real number that makes the expression undefined Interval NotationApr 29, 17As an example, a classic result of Ritt shows that permutable polynomials are, up to a linear homeomorphism, either both powers of x, both iterates of the same polynomial, or both Chebychev polynomials We say f and g commute (with respect to composition) The property is called commutativityProfessionals For math, science, nutrition, history

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We have to find g(x) Since, we are given that g(3)=1 Hence, we will proceed by the options 1 g(x)= at x=3 g(x)=1/9 Hence, this option is incorrect 2 g(x)=3x²

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