Question

Find the inverse of the function f(x)=6x-3

Answer 1

The inverse function swaps the dependent and independent variables, thus the transformation: \[f(x) \rightarrow x\]\[x \rightarrow f^{-1}(x)\]Perform this transformation and solve for the inverse function.\[x=6f^{-1}(x)-3\]\[x+3=6f^{-1}(x)\]\[f^{-1}(x)=\dfrac{x+3}{6}\]