What is the inverse of the given function? y=7x^2-3
To find the inverse of the given function, y = 7x^2 - 3, we need to interchange the x and y variables and solve for y.
1. Start by replacing y with x and x with y: x = 7y^2 - 3.
2. Rearrange the equation to solve for y: 7y^2 = x + 3.
3. Divide both sides of the equation by 7: y^2 = (x + 3) / 7.
4. Take the square root of both sides to isolate y: y = ±√((x + 3) / 7).
Keep in mind that since we took the square root, there will be two possible values for y. Therefore, the inverse function is:
y = ±√((x + 3) / 7).
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