Algebra Exponential and Sums & Difference of Logarithmic Questions

Determine whether the given functions are one-to-one. It they are one-to-one, find a formula for the inverse.(a)
$f (x) = - x + 5$ (b)
$f (x) = x^{2} - 4$ (c)
$f (x) = 2 x^{3} - 5$ (d)
$f (x) = \sqrt{x - 5}$ (e) $LaTeX: fleft(xright)=frac{6}{x+5}$
$f (x) = \frac{6}{x + 5}$
Answer the following exponential and logarithmic questions(a) Use properties of logarithms to expand the logarithmic expression,
$\log (10, 000 x^{2})$ Then simplify.(b) Solve the equation
$3^{x} = 81$ (c) Solve the equation
$\log_{6} (x + 2) = 2$ (d) Express in terms of sums and difference of logarithms
$\log_{b} (6 x^{5} y z^{2})$ (e) Expand and simplify

Maybe one or two problems on graphing