How do I evaluate inverse functions?
Let f(x)=3^x and g(x)=f(f(x)). Evaluate g^-1(27).
Let f(x)=3^x and g(x)=f(f(x)). Evaluate g^-1(27).
2 Answers
Nov 12, 2017
Explanation:
If
An inverse function works like this: If
Here,
Now
Nov 12, 2017
Explanation:
Given:
f(x) = 3^x
g(x) = f(f(x)) = 3^(3^x)
If
3^color(blue)(3^x) = 27 = 3^color(blue)(3)
As a real valued function
So we can deduce that the exponents are equal:
3^x = 3 = 3^1
and hence:
x = 1
So:
g^(-1)(27) = 1