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))
