Question

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

Answer 1

Answer:

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

Step-by-step explanation:

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

Answer 2

y=2x-10

x=2y-10

x+10=2y

x+10/2=y

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