# Math Help - Couple of questions

1. ## Couple of questions

- Whats the inverse of:

f(x) = 2x / 3-x

- What is the geometric mean of 4sin^2 x and 4 cos^2 x, in terms of sine?

Thanks.

2. Originally Posted by Y-So-Serious
- Whats the inverse of:

f(x) = 2x / 3-x

For $y = \frac{2x}{3-x}$

swap x and y then solve for y.

Originally Posted by Y-So-Serious

- What is the geometric mean of 4sin^2 x and 4 cos^2 x, in terms of sine?
make this substitution

$\cos^2 x = 1-\sin^2x$

The geometric mean of two numbers a and b is $\sqrt{a\times b}$

3. Can you solve the problems too? I need the final answers.

Thanks.

4. This Math Help Forum not Math Solve Forum.