Question

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

Answer 1

y=2x-10

x=2y-10

x+10=2y

x+10/2=y

final answer: y=(x+10)/2

Answer 2

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

Explanation:

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