Question

Which equation is the inverse of y = 9x2 – 4? mc008-1.jpg mc008-2.jpg mc008-3.jpg mc008-4.jpg

Answer 1

Answer: y = +/- [√x+4) ] / 3

Explanation:

1) To find the inverse of the function y = 9x^2 - 4, exhange the variables x and y, and then solve for the new y.

2) Exchange of the variables: y = 9x^2 - 4 → x = 9y^2 - 4

3) Solve for y:

9y^2 = x + 4

y^2 = [x + 4] / 9

y = +/- [ √ (x + 4) ] / 3

Answer 2

Y = 9x^2 - 4

x^2 = (y + 4) / 9

x  = sqrt(y+4) / 3

f(-1x) = [sqrt(x + 4)] / 3

the answer is y=[sqrt(x + 4)] / 3