Question 599356
a) Is {{{f(x) = 3x}}} a one-to-one function?
Yes it s because for every value of the independent variable (that's x) the function (f(x)) yields a unique value.
b) If {{{f(x) = 3x)}}} find {{{f^(-1)(x)}}}
First replace {{{f(x)}}} with {{{y}}} and write:
{{{y = 3x}}} Now exchange the x and y.
{{{x = 3y}}} Solve for y.
{{{y = x/3}}} Finally, replace {{{y}}} with {{{f^(-1)(x)}}}
{{{f^(-1)(x) = x/3}}}