If f(x) = x^2- 2, how do you find expressions for f(-x)?

2 Answers
Apr 9, 2018

f(-x)=x^2-2=f(x)

Explanation:

f(-x)=(-x)^2-2=x^2-2

Apr 9, 2018

see solution process below;

Explanation:

I think you mean't, f^-1(x) which is the inverse of f(x)

But if its, f(-x) it should be -(x^2 - 2)

Hence;

f(x)=x^2- 2

f(-x)=-(x^2-2)

f(-x) =-x^2+ 2 or 2 + x^2

But if its f(x)^-1

Let, f(x)= y

y = x^2 - 2

Making x the subject of formula;

x^2 - 2 = y

x^2 = y + 2

x = sqrt(y + 2)

Therefore;

f(x)^-1 = sqrt(x + 2)