F(x) = 5x^2 + 2, find the inverse

Hey there! :)

= ±

Step-by-step explanation:

Given:

f(x) = 5x² + 2

Switch the x and y variables in the equation:

x = 5y² + 2

Subtract 2 from both sides:

x - 2 = 5y²

Divide 5 from both sides:

Square root both sides:

y = ±

**Make sure to add a ±  sign when finding the inverse of a parabolic function.

Therefore, the inverse of this function is:

= ±

step-by-step explanation: