Question

Let f(x)=x^2-16. Find f^1(x)

Answer 1

assuming is the inverse of the expression.

as you'd know, we first off do a quick switcharoo on the variables, and then solve for "y", so, let's do so,


`\bf \stackrel{f(x)}{y}=x^2-16\qquad inverse\implies \boxed{x}=\boxed{y}^2-16 \\\\\\ x+16=y^2\implies √(x+16)=\stackrel{f^(-1)(x)}{y}`