SOLUTION: Find the inverse of y=7x^2-3

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Question 318317: Find the inverse of y=7x^2-3
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Find the inverse of:
y+=+7x%5E2+-+3 Interchange the x and y.
x+=+7y%5E2+-+3 Solve for y. Add 3 to both sides.
x%2B3+=+7y%5E2 Divide both sides by 7.
%28x%2B3%29%2F7+=+y%5E2 Take the square root of both sides.
sqrt%28%28x%2B3%29%2F7%29+=+y or y+=+sqrt%28%28x%2B3%29%2F7%29
The inverse of a function of x (f(x)) is often written as: f%5E%28-1%29%28x%29 so the answer can be written as:
f%5E%28-1%29%28x%29+=+sqrt%28%28x%2B3%29%2F7%29