we have
[tex]y=2x^{2} -8[/tex]
Step 1
Exchanges the variables x for y and y for x
[tex]x=2y^{2} -8[/tex]
Step 2
Isolate the variable y
[tex]2y^{2}=x+8[/tex]
[tex]y^{2}= \frac{x+8}{2}[/tex]
Square root both sides
[tex]y=(+/-)\sqrt{\frac{x+8}{2}}[/tex]
Step 3
Let
[tex]f(x)^{-1}=y[/tex]
[tex]f(x)^{-1}=(+/-)\sqrt{\frac{x+8}{2}}[/tex]
therefore
the answer is
The inverse is equal to [tex]f(x)^{-1}=(+/-)\sqrt{\frac{x+8}{2}}[/tex]
