Question

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

Answer 1

`\huge\boxed{f^(-1)(x)=(1)/(2)x+5}`

Explanation:

`f(x)=2x-10\to y=2x-10\\\\\text{exchange x to y and vice versa}\\\\x=2y-10\\\\\text{solve for}\ y\\\\2y-10=x\qquad|\text{add 10 to both sides}\\\\2y-10+10=x+10\\\\2y=x+10\qquad|\text{divide both sides by 2}\\\\(2y)/(2)=(x)/(2)+(10)/(2)\\\\y=(1)/(2)x+5`