1 73. Given f(x) = 3x + 1 and (f + g) (x) = 6 - x, find the function g.

Q: 7. For the function f (x)=(x-2)° +1, a. Sketch the graph of over the interval [0,3].

A:

Q: 4) Find the value of the function f (x) given in the table below at the point x = 3 by Aitken…

A: to find the value of fx given in the table at the point x=3 by Aitken method  solution we will solve…

Q: 1 If f(x) = and g(x) =-, 2x +1 1 find f (g(x)) and its domain. - 2

A: Composite function :  A composite function is created when one function is substituted into another…

Q: 1. Consider the function f(x) = -x² + 6x and the point P(2,8) on the graph of f.

A: Given data: The expression for the given function is f(x)= -x2+6x. The given point is A(2,8). (a)…

Q: 2 47) Use the graph of f(x) shown to the right to solve: a) f(x)-0 b) f(x)<0 y-f(x)

A: a) Consider the given function to be y = f(x). Solve the equation f(x) = 0 using the given graph as…

Q: (;) 9 and () ). For the functions f (x) = 4x4 – 19x³ – 10x2 + 35x – 50 and g(x) = x – 5, find E) (x)…

A: Consider the provided functions, fx=4x4-19x3-10x2+35x-50    and    gx=x-5 Find the value of fgx…

Q: 1. Consider the function f (x) = ;x + 10. a) What do the two numbers and 10 represent? 2 b) Solve f…

A: As per bartleby guidelines one question should one question should be answered once, please upload…

Q: 16. Given f (x) = x/(2+x) and g(x) = 2x/(1-x): a. Find f (g(x)) and g (f (x)). b. What does the…

A: Given functions:

Q: 6. Given the function f(x)=x² find the equation of g(x) where f(x) is shifted to the right 2 units,…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Q2: Find the value of the constant K if the function 4-x is continuous at x-2 f(x) ={3-Vx² +5 ;x= 2…

A: we have to find the value of k Given,  f(x)=4-x3-x2+5          x≠2K                              x=2…

Q: За + 4 f(x) g(x) = – 2x – 3 Find the following - - f(1) = g(1) = (f + g)(1) =

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: 4. Given the functions h(x) = 3x - 4 find h(x) 5x + 2

A: Here we have to find inverse of function h(x).

Q: 6. Suppose f(x)-<ɛ. Solve for|x-1 where f defined below. x 1 f(x) = 2 3

A:

Q: 4. Given the functions g(x) = 5x +1 find g'(x) 2х -6

A: The given function is: g(x)=5x+12x-6

Q: 18) Match the graph with the correct function. (a) f(x) = -3 + In x (b) f(x) = 3 + In x (c) f(t) =…

A:

Q: 2. Consider the functions f(x) = 2x² – 7x + 4 and g(x) = -7x +5. %3D a) Find f(-1). b) Find g(r -…

A: Given f(x)=2x2-7x+4f(-1)=2(-1)2-7(-1)+4         =2+7+4         =13Therefore f(-1)=13

Q: 1) f(x) = 5x and g(x) = x - 3, find f(2) + g(1)

A: Please see the below picture for detailed solution.

Q: 41. 42. f(x) f(x) 3. 2- 1 1 1 -1- 4 -1 -2- Square Root Function

A: It is clear that from given graph

Q: 3.7 The derivative of f(x) = 1/(1 – 3x²) is given by 6x (1 – 3x²)²? Do you expect to have…

A: Given the function f(x)=11-3x2 the derivative f'(x)=6x1-3x22 finding the value at x = 0.577…

Q: 10. What value of k makes the function {2x - (4(x + k) if x > 2 if x <2 f(x) continuous at x = 2? А.…

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Q: 5. Consider the function (x2 + y²)e-¯-. Provide the number of maxima of f(x, y). In case there is no…

A:

Q: 9. Find the domain of the function 1 – ex² 1 – e'-x? f(x) =

A:

Q: 16) g(x) = 4x - 5 s(x) = x' + x² Find (g + f)(-2)

A: Given,      g(x)=4x-5      f(x)=x3+x2

Q: 10.Given f(x)=2x-3 and g(x)= x² + 1, solve f[g(x)]

A: We have to find fgx where functions are given as: fx=2x-3 and gx=x2+1. Here we have to find…

Q: 19. Given g(x) = 3x – 2x, find 9(x+h)-g(x)_ %3D

A:

Q: 3) Find the intervals where the function is increasing and where it is decreasing. f(x) = x² - 6x²…

A:

Q: #2. Determine the equation for piecewise function f(x) given its graph below. -9-8-7-6-5-4-3 f(x) 5…

A: Given data:-

Q: 5/A) Find for the function dx V2x - 3 (x+ 2 y =- V3x - 2 Find the Domain of the following function x…

A: We have  y=2x-3x+223x-23 differentiate with respect to x dydx=ddx2x-3x+223x-23

Q: 1. Given f(x) = -2x and g(x) = x - 7, find g(f(2)). *

A: f(x)=-2x g(x)=x-7

Q: What is the average rate of change between x = 4 and x = 7 for the function g defined below? 3 g(x)…

A:

Q: 6. Consider the function f(x) = A (eikx + e-ikx) for -27/k<x< 21/k, where k is a real constant. For…

A:

Q: 2 A2. b. Given the two generating functions f(x) = and g(x) = find- (1-x)2 (1-x)2 the generating…

A: We have to find required generating function.

Q: 15 + 3x 3) g(x) = 5 f(x) = -x – 5

A: Consider the given functions, gx=15+3x5fx=-x-5   Calculate gfx and fgx.…

Q: 21. Suppose f(x) = G and g(x) = v2**. Find the x-value for which the two functions are equal.

A:

Q: 1.) Let f(x) = 7 + What is f(3 + h)?

A:

Q: 2 Consider the function f (x) = x + 6x 3 (a) Find the domain of f (x).

A:

Q: 8. Given f(x) = 3x -9x+35 and g(x)= f(x), determine all possible values for g(5).

A: No real roots

Q: 1 For what value of x does the function f(x) = -x 4x attain the absolute maximum in the interval…

A:

Q: 1 For what value of x does the function f(x) = =x³ – 4x attain the absolute maximum - in the…

A: here option (c) is true on doing differentiation we get the  f'(x)=3x^2/3-4 f'(x) =x^2-4 put f'(x)…

Q: Q 2/ find the value of (k) to continue the function (Vx+1-V2x f(x)= x2-x x = 1.

A: For continuity of function  Lim of f(x) at x=1 should be equal to k

Q: 2 a) For the function f(x) = find f' X- 3'

A:

Q: 8. For the function f(x)=3x+5-11, find the values of x such that f(x)=0.

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Q: 1. For the function f(-x) = 1-- find the following: (* + 2)2 (i) f(-x) _(ii) f (x + k)

A:

Q: 8. Consider the quadratic functions: f(x) = -2(x+3)(x-7) and g(x) =(x+3)(x-7). How are they the…

A:

Q: 8. Find f'(0) if f(x) = In(x + 4 + e-3*). A. - 2

A: Given: f(x)=lnx+4+e-3x

Q: 1. Find when the function is increasing and when it is decreasing. x2 – 9 f(x) = x2 – 16

A:

Q: 3. Find the value of the constant k that makes the function continuous f(x) = {x² – 6, x + 4k, x 6

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Q: 1. Find the function f given that f'(x) = 2x and f(2) = 5. Is the function ƒ unique? Why?

A:

Q: Let h(x)=f(x)g(x). If f(x)=−3x 2−4x+2 and g(x)=−x2 +3x+2, what is h′(−1)? Do not include "h′(−1)="…

A: Consider the function

Q: 5) Find all points of inflection in the function g(x) = (x – 7) 13 on the interval [0, 10].

A: The points of inflection are those points at which the second order derivative of the function is…