MATH SOLVE

2 months ago

Q:
# If f(x) =[tex]\sqrt{x} +3[/tex], what is the equation for f–1(x)?

Accepted Solution

A:

Answer:[tex]f^{-1}(x) = x^{2}-6x+9[/tex] is the answer.Step-by-step explanation:If the function is f(x) = √x + 3We will write the function as an equation y = √x + 3√x = y - 3x = (y -3)²x = y² -6y +9Now we will convert the equation into a function[tex]f^{-1}(x) = x^{2}-6x+9[/tex]Therefore the inverse function f(x) = x²-6x+9