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