Answer:
inverse of function is [tex]\frac{x+3}{5}[/tex].
Step-by-step explanation:
Given:If f(x) = 5x − 3
To find: which expression represents its inverse function.
Solution We have given that
f(x) = 5x − 3
Step 1: take f(x) = y
y = 5x -3.
Step 2 : Interchange the x and y
x = 5y -3.
Solve for y
On adding both sides by number 3
x + 3 = 5y.
On dividing both sides by 5
y = [tex]\frac{x+3}{5}[/tex].
Here y = [tex]f(x)^{-1}[/tex] = [tex]\frac{x+3}{5}[/tex].
Therefore, inverse of function is [tex]\frac{x+3}{5}[/tex].
