Question

What is the inverse of the function f(x) = 2x – 10?

h(x) = 2x – 5

h(x) = 2x + 5

h(x) = x – 5

h(x) = x + 5

Answer 1

`\bf f(x)=\boxed{y}=2\boxed{x}-10\qquad inverse\implies =\boxed{x}=2\boxed{y}-10\impliedby f^(-1) \\\\\\ x+10=2y\implies \cfrac{x+10}{2}=y\implies \cfrac{x}{2}+\cfrac{10}{2}=y \\\\\\ \cfrac{x}{2}+5=y=f^(-1)(x)`