Question

Please help me out!!!!!!!!!!!!!!

Answer 1

Answer: x

Step-by-step explanation:

The shortcut:  f⁻¹ and f cancel each other out. So you are left with x

The long way:

f(x) = 47x - 55

f⁻¹(x) is when the x's and y's are swapped and you solve for y

x = 47y - 55

x + 55 = 47y

$\frac{x + 55}{47}$ = y

f⁻¹(x) = $\frac{x + 55}{47}$

f⁻¹(f(x)) = $\frac{(47x - 55) + 55}{47}$

         = $\frac{47x}{47}$

         = x