Question

Given the function f(x) = 0.3(4)^x, what is the value of f^−1 (6)?

0.360

1.242

2.161

2.312

Answer 1

@mathmale ?

Answer 2

Goal: Find the inverse function of f(x) = 0.3(4)^x f(x) = 0.3(4)^x

Method:
1) replace that f(x) with y: y = 0.3(4)^x
2) interchange x and y
3) solve the resulting equation for y
4) replace the y in your final answer with \[f ^{-1}(x).\]

Answer 3

is that correct?