Question

Find the inverse of the function

Answer 1

Answer:

Step-by-step explanation:

g(x) = (x-2)² -7

let : g(x) = y

y = (x-2)² -7  solve for : x

(x-2)² = y - 7

if : y - 7 ≥ 0

x - 2 = √( y - 7)   or x - 2 =  - √( y - 7)

x  = 2+√( y - 7)   or x  = 2 - √( y - 7)

the inverse of the function g is :

f(x) = 2+√( x - 7)

or :

f(x)  = 2 - √( x - 7