beyoncepaige18
Answered

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What is the inverse of f(x) = 2x2 -4?

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Sagot :

GeorgePP

Answer:

Step-by-step explanation:

The function doesnt have an inverse. In order for a function to actually have an inverse, it has to pass the horizontal line test. The function above has repeating y-values because of the x^2.

With all this said, you can still find the inverse of the function as long as you restrict the domain (x-values) for the function. So, you cant consider the negative x-values.

First, replace f(x) with y and then switch the x and y variables

[tex]x=2y^2-4[/tex]

Then solve for y by adding 4 to both sides, dividing by 2, and finally taking the square root.

[tex]x+4=2y^2[/tex]

[tex]\frac{x+4}{2} =y^2[/tex]

[tex]\sqrt{\frac{x+4}{2} }=y[/tex]

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