Find the value of x in 19 and 20 so that f(x)=7

Part 19) x=5

Part 20) x=-3

Step-by-step explanation:

Problem 19) Find the value of x so that f(x)=7

step 1

Find the intersection point of the given line in the graph with the line y=7

The intersection point is (5,7)

see the attached figure

therefore

The x-coordinate of the intersection point is the value of x when f(x)=7

x=5

f(5)=7

Problem 20) Find the value of x so that f(x)=7

step 1

Find the intersection point of the given line in the graph with the line y=7

The intersection point is (-3,7)

see the attached figure

therefore

The x-coordinate of the intersection point is the value of x when f(x)=7

x=-3

f(-3)=7

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1