The inverse of the function f(x)= √(x + 3) + 2 ​

Question

The inverse of the function f(x)=

`√(x + 3) + 2`
​

Answer 1

f^-1 (x)=x^2-4x+1

Explanation:

y=sqrt(x+3)+2

x=sqrt(y+3)+2

sqrt(y+3)=x-2

y+3=(x-2)^2

y+3=(x-2)(x-2)

y+3=x^2-2x-2x+4

y+3=x^2-4x+4

y=x^2-4x+4-3

y=x^2-4x+1