Question

What is the inverse of the function below?

f(x) = 5x - 2

f -1(x) = x - 2

5

f -1(x) = x + 2

5

f -1(x) = -2 + 5x

f -1(x) = -5x + 2

Answer 1

\(\bf f(x) ={\color{red}{ y}}= 5{\color{blue}{ x}} - 2\qquad inverse \implies {\color{blue}{ x}}= 5{\color{red}{ y}} - 2\)

solve for "y"

notice, to get the inverse "relation", all we do is swap about the variables