Answer:
\(f(x)^{-1}\) = \(\frac{x+10}{2}\).
Step-by-step explanation:
Given : f(x)=2x-10.
To find : what is the inverse of the function .
Solution : We have given f(x)=2x-10.
Step 1 : y = 2x - 10 .
Step 2 : Inter change the x and y.
x = 2y -10 .
Step 3 : Solve for y .
On adding both sides by 10
x + 10 = 2y .
On dividing both sides by 2 .
y = \(\frac{x+10}{2}\).
y is the inverse of f(x) .
y = \(f(x)^{-1}\).
Therefore, \(f(x)^{-1}\) = \(\frac{x+10}{2}\).
