Question

1) Find the inverse of the function below. Use g-1(x) to indicate the inverse 5 points

function. Use SQRT to indicate square root and use parenthesis for
fractions. Example: 9-1(x)=SQRT{(x-2)/3)-6 *
g(x) = 2(x – 3)2 + 4
Your answer

Answer 1

g-1(x)=SQRT{(x-4)/2} + 4

Explanation:

I assume that the 2 is the exponent so ^ represents exponent

We know your function is g(x)=2(x-3)^2+4

For inverse functions we swap x and y values, note g(x) is like the y value

Isolate for y

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

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

(x-4)/2 = (y-3)^2

SQRT{(x-4)/2} + 4 = y

Therefore g-1(x)=SQRT{(x-4)/2} + 4