SOLUTION: https://ibb.co/vqFKWK4

Algebra ->  Functions -> SOLUTION: https://ibb.co/vqFKWK4      Log On


   

Question 1187800: https://ibb.co/vqFKWK4
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=%28x-7%29%2F4
find
f%5E-1%28x%29=
recall that f%28x%29=y
y=%28x-7%29%2F4........swap variables
x=%28y-7%29%2F4...........solve for+y
4x=y-7
4x%2B7=y+
so,
f%5E-1%28x%29=4x%2B7

verify
f%28f%5E-1%28x%29%29=x
f%28f%5E-1%28x%29%29=f%284x%2B7%29
f%28f%5E-1%28x%29%29=+%28%284x%2B7%29-7%29%2F4
f%28f%5E-1%28x%29%29=+%284x%2B7-7%29%2F4
f%28f%5E-1%28x%29%29=+%284x%29%2F4
f%28f%5E-1%28x%29%29=+x

verify
f%5E-1%28f%28x%29%29=x
f%5E-1%28f%28x%29%29=f%5E-1%28%28x-7%29%2F4%29
f%5E-1%28f%28x%29%29=4%28%28x-7%29%2F4%29%2B7
f%5E-1%28f%28x%29%29=x-7%2B7
f%5E-1%28f%28x%29%29=x+