Question

What is the y-intercept of f–1(x)?

Answer 1

Answer:

-16

Step-by-step explanation:

The given linear function is ; $f(x)=\frac{3}{4}x+12$

Let $y=\frac{3}{4}x+12$.

We interchange x and y.

$x=\frac{3}{4}y+12$.

We solve for y.

$x-12=\frac{3}{4}y$.

We now multiply through by $\frac{4}{3}$ to get:

$\frac{4}{3}x-12\times\frac{4}{3}=y$.

This simplifies to;

$y=\frac{4}{3}x-16$.

Hence $f^{-1}(x)=\frac{4}{3}x-16$.

The y-intercept is -16