Question

What is the inverse function of 2 + the square root of 5x-3?

Answer 1

y = 2 + √(5x-3)

First step of finding inverse: swap x's and y's

x = 2 + √(5y-3)

Put in terms of y

x - 2 = √(5y-3)
(x-2)^2 = 5y-3
x^2-4x+4 = 5y-3
x^2-4x+7=5y
y = (x^2 - 4x + 7)/5

Is it a function? Yes

So y = (x^2 - 4x + 7)/5 is the inverse function

Answer 2

Thank you, the constant in front of the square root confused me.