Which equation is the inverse of y = 9×2 – 4?
To find the inverse of the given equation y = 9x^2 – 4, we need to first swap the positions of x and y, and then solve for the new y
To find the inverse of the given equation y = 9x^2 – 4, we need to first swap the positions of x and y, and then solve for the new y.
Step 1: Swap x and y:
x = 9y^2 – 4
Step 2: Solve for y:
Adding 4 to both sides, we get:
x + 4 = 9y^2
Now divide both sides by 9 to isolate y^2:
(x + 4) / 9 = y^2
Finally, take the square root of both sides to solve for y:
√[(x + 4) / 9] = y
Therefore, the equation inverse to y = 9x^2 – 4 is y = √[(x + 4) / 9].
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