Question

Are f(x) and g(x) inverses? Explain why or why not. Show all your work

f(x) = 3x^2– 2 and g(x)= √x+2
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PLEASE HELP ILL MARK BRAINLIEST

Answer 1

Basically, this is the same as the other inverse functions you’ve worked on.

1. replace the f(x) with a y

2. swap the x and y

3. solve for the new y

f(x)=3x^2-2

Inverse:

x=3y^2-2

x+2=3y^2

(x+2)/3 = y^2

Square roof of ((x+2)/3) = y

inversef(x)=Square root of ((x+2)/3)= g(x)

And then the inverse of this function is the same as the original.