Book Problem 1 Sketch the graph of the function f(x) = Let g(x) = f(t)dt. (a) Then g(-6) = g(-3) = (6) bon c 0 if x <-4 3 if -4

Q: 1 f(x) = 1. a = -2 x + 2 1 if x + -2 2. f(x) = x + 2 a = -2 1 if x = -2 + 3 if x -1

A: See the attachment

Q: Let if a < - 5 if -5 < x < – 1 3 if -1<x < 3 f(x) = if a 3 and g(2) = / r(e)dt Determine the value…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: a+5 If f(z) = 3z-5 and g(z) = 3 %3D (a) f(g(z)) = (b) g(f(z)) = %3D (c) Thus g(z) is called an…

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Q: Q4 For the functions f(x) = 7x + 4, h(x) = 10 --3 and g(x) 3x- 2 %3D (a) Evaluate (i) g(4) (ii)…

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Q: In Problem,find the domain of the composite function f ο g.

A: Given,           fx=xx-1 and gx=-4x

Q: (a) Two functions are given as follows: f(x)=3x+2 2 g(x)= x-1 (1) (ii) Determine the function…

A: Given problem:- 2. (a) Two functions are given as follows:            f(x) = 3x + 2           g(x)…

Q: A graphing calculator or computer algebra system is recommended. f'(x) and its graph are given. Use…

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Q: 10. The graph of the function f is drawn below. (-4, 2)9 2 y = f(x) -3 -1 (y = 0) (-2, –2) (a)…

A: Graph of the function y=f(x) is given, we have to sketch the graph of y=-f(x-1)

Q: (4) (10 points) Show that the function f(x) x3 = 3 -x+1 is one-to-one on the interval (-1, 1).…

A: Step 1:Step 2:

Q: shows the effect of translating the graph of f(x) = l/(x 2 + 1) vertically andhorizontally.

A: Given f(x)=1x2+1

Q: The graph of f(x) is given on the grid. Graph f'(x), its derivative. 8 + 7 6 5 4 3 2 1 8 -7 -6 -5 -4…

A: f'(x) is same as slope of a line

Q: The graph of the function f(x) = -x³ + 18.x² – 8 is concave upward on o (3,5) None of these o (3,7)…

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Q: Using the parent function f(x) = 2* , what could be the function shown in the graph? y (3, 3) (4, 2)…

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Q: EXAMPLE 3 If f(2) = 5, (4) = 6, and f(7) = -9, find f -'(6), f ·'(5), and f '(-9). SOLUTION -1 From…

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Q: Apply the tranformations indicated for the graph of the general functions given | g(x) (-1,-4) х /2…

A: Note: Points are not labelled correctly in the given graph, I have corrected them. Solution: All the…

Q: If f(x) = z + 5 and g(z) = z - 5, (a) f(9(x)) (b) 9(f(x)) (c) Thus g(z) is called an function of…

A: Given f(x)=x+5 and g(x)=x-5. a. f(g(x)) As g(x)=x-5 we will substitute the value in place of g(x)…

Q: Interpolating the function f(x) = 1+25 across the interval [-1, 1].

A: Introduction:             By using related known variables to predict an unknown price or possible…

Q: values

A: We will find the value of x between 0&lt;x&lt;10.

Q: 5. Use the graph of f(x) = x' - 2x and g(x) =x to answer the questions. (a) For what values of x is…

A: Given that, f(x)=x3-2x, g(x)=x For f(x)=g(x), we have, x3-2x=x⇒x3-3x=0⇒x(x2-3)=0 This gives x=0, ±3…

Q: QUESTION 7 Find and simplify the difference quotient x + h)-fixl, hr0 for the given function. fx) =…

A: Difference quotient

Q: If f(z) = z+2 and g(z) = z-2, (a) f(g(z)) = %3D (b) g(f(z)) = %3D (c) Thus g(z) is called an…

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Q: 1+x Ex(11):-(H.W) If f(x)= 1-x f(x)-f(y)x-y 1+ f(x)· f(y) 1+ xy Show that

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