Please please please help

Mathematics

1 answer:

ra1l [238]4 years ago

6 0

Answer:

The inverse of the function is ±sqrt( (x+4)/2

Step-by-step explanation:

Set the function equal to y

y = 2x^2 -4

Exchange x and y

x = 2y^2 -4

Solve for y

Add 4 to each side

x+4 = 2y^2 -4+4

x+4 = 2y^2

Divide each side by 2

(x+4)/2 = 2/2y^2

(x+4)/2 = y^2

Take the square root of each side

±sqrt( (x+4)/2 )= sqrt(y^2)

±sqrt( (x+4)/2 )= y

The inverse of the function is ±sqrt( (x+4)/2

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To answer this question you will set up the proportion shown in the attached picture.

There are 2 ways to solve this.

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