# Thread: Exponential and Logarithmic Functions

1. ## Exponential and Logarithmic Functions

Use composition of functions to determine whether f and g are inverses of one another.
f(x)=3x;g(x)=1/3x

2. Originally Posted by renebran
Use composition of functions to determine whether f and g are inverses of one another.
f(x)=3x;g(x)=1/3x
If the functions are inverse then $f^{-1}(x) = g(x)$

$f^{-1}(x) = \frac{x}{3}$

I do not know if you means $\frac{1}{3x}$ or $\frac{x}{3}$

3. Start by finding $f(g(x))$ , what do you get?

4. Originally Posted by e^(i*pi)
If the functions are inverse then $f^{-1}(x) = g(x)$

$f^{-1}(x) = \frac{x}{3}$

I do not know if you means $\frac{1}{3x}$ or $\frac{x}{3}$

is what I meant