4. Use the graph of y = g(x) below to a) graph the inverse function g'(x) [if on your own graph paper, you do not need to copy g(x)] b) then estimate the slope (g¬')'(3) 5- -5 -4 -3 -2 –A 9| i 2 3 4 5 -4

Q: 5. If f(x)=-3x+5 a) Find f-¹(x). b) Use function composition to prove that they are inverse…

A: a) finding the inverse of f(x)

Q: Graph the function f (x) = (-)" A - 3 and its inverse on the same set of axes.

A: The given function is fx=32x-3. Let y=32x-3. Interchange the variables x and y and solve for y as…

Q: 13. (a) Find the inverse of the functio x) = 2x – 5 (b) Find f- (3)

A:

Q: = x + 3 and g(x) = x², sketch the graphs of: a) (f - g)(x) b) (fx g)(x) Given f(x) =

A: First we have to find function for the given function and we have to plot graph.

Q: Consider the function defined by f(r) = re + xe¯ + 4: (1) study f and draw its graph, (2) determine…

A:

Q: 3. When is the function increasing and when is it decreasing? f(z) = re==z3)? xe 2 f(x)=xe 4X2)

A: Solution:

Q: Consider the function y=f(x). Describe the graph of each transformed function: a) y=-f(x-2)-1 b)…

A:

Q: #4. Determine the following attributes of f(x)= log,(3x+1)+2. a) `Find the x-intercept(s) of fx).…

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: 11. The point (9, 16- A. (3,4)

A: y=f(x)after transformation y=f(x)(x,y)→(x , y)(9,16)→(9 , 16)=(9,4)

Q: 6- Do a complete analysis to sketch the following function. F(x)=2x-x²/x²-2x+1

A:

Q: 1. for f(x)=x2 + 2 AND g (x)= 8 - 7x, evaluate:  a) g(-3a + 1) b) g(-3a + 1) - f(a+4) c) x when…

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

Q: 22. Given the function f(x) = -2x²-16x-29, a) find the slope of the line tangent to the function at…

A:

Q: 1. Assume that the function f is a one-to-one function. (a) If f(2) = 5, find f-(5). Your answer is…

A:

Q: Q1) By using transformations of mother functions, sketch the following curves and determine the…

A: We will find out the required values.

Q: known that the points (4, 7), (8, 11) and (14, 18) are on the graph of the function y = f(x). It is…

A: Given: (4,7),(8,11) and (14,18)   are on the graph of y=f(x)

Q: Consider the function 2x + 1 g(x) = x +1 a) Evaluate the derivative of the function. b) Sketch the…

A:

Q: 9.) What is the smallest slope of the function y=x²-3x² + 5x-1 on ?

A:

Q: 9. Find the slope of f(x) = (x+2)2 +5 at the point (3,-4)

A: