Answer:
-16
Step-by-step explanation:
The given linear function is ; [tex]f(x)=\frac{3}{4}x+12[/tex]
Let [tex]y=\frac{3}{4}x+12[/tex].
We interchange x and y.
[tex]x=\frac{3}{4}y+12[/tex].
We solve for y.
[tex]x-12=\frac{3}{4}y[/tex].
We now multiply through by [tex]\frac{4}{3}[/tex] to get:
[tex]\frac{4}{3}x-12\times\frac{4}{3}=y[/tex].
This simplifies to;
[tex]y=\frac{4}{3}x-16[/tex].
Hence [tex]f^{-1}(x)=\frac{4}{3}x-16[/tex].
The y-intercept is -16
