Question

I need the inverse operation for questions 1,3,7,9

Answer 1

3. g(x) = (x-3)^2 -5

Replace g(x) with y

y = (x-3)^2 -5

Switch the x and the Y:

x = (y-3)^2 -5

Solve for y:

Add 5 to both sides:

x + 5 = (y-3)^2

Take the square root of both sides:

+ /- SQRT(x+5) = y -3

Add 3 to both sides:

y = +/- SQRT(x +5) +3

The solution is both the positive and negative:

SQRT(x +5) +3 and -SQRT(x+5) +3

7. Following the same steps as 3

The answer is SQRT(x-2) -6 and -SQRT(X-2) -6

9. Following thw same steps as 3.

The answer is SQRT(2(x+4)) +2 and - SQRT(2(x+4))