Hi all!

Just having a little problem with the following:

Functions f and g are defined as follows

$\displaystyle

f(x) = 2x + 3, x\epsilon\Re $ and $\displaystyle g(x) = \frac{1}{x-1}, x\epsilon\Re $, $\displaystyle x$ [does not equal to] 1

I couldn't find the correct symbol for not equal to sign.

(i) Find the expression for the inverse function f^-1$\displaystyle (x)$

(ii) Find the expression for the composite function $\displaystyle gf$$\displaystyle (x)$

(iii) Solve the equation f^-1$\displaystyle (x)$ $\displaystyle =$$\displaystyle gf(x)-1$

Thanks in advance.