Answer: f⁻¹(x)=4x-56
Step-by-step explanation:
f⁻¹(x) is the inverse of f(x). To find the inverse, we replace the y with x, and x with y. Once we do that, we solve for y.
[tex]x=\frac{1}{4}y+14[/tex] [subtract 14 on both sides]
[tex]x-14=\frac{1}{4}y[/tex] [multiply both sides by 4]
[tex]4(x-14)=y[/tex] [distribute 4]
[tex]4x-56=y[/tex]
[tex]f^-^1(x)=4x-56[/tex]
