Use the graph of f and g. p(x) = f(x)g(x) f(x) g(x) q(x) y 10 8. f 4 2 -2 4 6. 8 10 -2 (a) Find p'(2). p'(2) = (b) Find q'(4). q'(4) = 2.

Q: A table for the function f(x) is shown to the right. Use the table to answer the questions below. y…

A: Explanation and solutions is given below....

Q: 9. for f(x)=3x-5 and g(x)=3x^2-3, find the following functions  a.(f o g)(x)  b. (g o f)(x) c.(f o…

A: Consider the function, To calculate the (f o g) (x),   Substitute the value of g(x) in function…

Q: Sketch the graph of the function f(x)=-x2 +4x-1. Find the equation of the line that is tangent to…

A:

Q: If  f(a)=b,  then which point is on the graph of   f(x)? 1. (f(a),f(b)) 2. (a, b)(a,b) 3.…

A: Given : f(a) = b

Q: Find the equation of the tan gent line to the graph of the equation f(x) = 5x - 8x +12, at the point…

A: Here we are going to solve only one question and for the remaining question post the question again.…

Q: Use the graph below to fill in the missing values. f(x) -1 4 f(0) = f(«) — 0, х 3 f -'(0) = f («) —…

A: To find f(0) we find y when x=0 At x=0, y=4 So, f(0)=4

Q: L. Let h (x) = f (x) g (x). Find a. h' (1), b. h' (3), and с. h' (4).

A: According to the given information,

Q: Use the graph of f(x) = 1/x2 to graph g(x) = 1/(x - 2)2 + 1.

A: fx=1x2, gx=1x-22+1 Now the graph of fx=1x2 is,

Q: Starting with the graph of f(x) = 9", write the equation of the graph that results when: (a) f(x) is…

A: f(x) = 9x a) f(x) is shifted 7 units downward, y = (9x - 7)

Q: Explain how to find f (a) geometrically from the graph of y = f (x).

A: Explain how to find f (a) geometrically from the graph of y = f (x).

Q: Define h(x)= x3-x2-9x+9  Find the positive x value for which the slope is equal to 1.

A: Given that Define h(x)= x3-x2-9x+9  Find the positive x value for which the slope is equal to 1.

Q: Find the value of x between the points  ( − 3, 2) and (x, 6) with slope 2/5.

A: We use the slope formula to find the slope between (-3,2) and (x,6)

Q: what is the equation f(x)= a (x-h) + k with the appropriate shifts entered

A: Find the attachment

Q: In Problems 9 and 10, find the indicated quantity for y = f(x) =5 – x² and interpret that quantity…

A: Consider the function  f(x)=5−x2

Q: Find an expression for the function f(x) whose graph is a line passing through the points (4, 5) and…

A: Find the slope of the line. Start with the slope formula.

Q: . Let h (x) = f (x) + g (x). Find a. h' (1), b. h' (3) , and c. h' (4).

A: Given Data: Function: h(x)=f(x)+g(x) The derivative of function h(x) with respect to x is,…