9.5k views
9 votes
Consider the function.

3
f(x) = -X + 12
4
What is the y-intercept of f'(x)?
-16
ООО
- 12
3
4

Consider the function. 3 f(x) = -X + 12 4 What is the y-intercept of f'(x)? -16 ООО-example-1
User Kyriog
by
7.1k points

1 Answer

6 votes

Answer:

A. -16

Explanation:

Note that
f^(-1)(x) stands for the inverse of
f(x). We can write the graph as
y=(3)/(4)x+12. Switching
y with
x and vice versa will now get us the inverse of the graph, so we see that the inverse is
x=(3)/(4)y+12.

We are asked for the y-intercept, which is the point for which
x=0. Substituting that gives
0=(3)/(4)y + 12 or
(3)/(4)y = -12, so
y=-12\cdot (4)/(3) = -16. We are now done.

User Holger Will
by
6.4k points