FIND THE INVERSE:

Question

f(x) = 10^(5x+3) - 10

f^-1(x) =

Answer 1

y = 10^(5x+3) - 10
(y+10) = 10^(5x+3)
log(y+10) = 5x+3
x = (log(y+10)-3)/5

so, f^-1(x) = (log(x+10)-3)/5