Question

Let f(x) = 2- x^2 and g(x) = x^2 -2. How do you solve f(x) = g(x) ?

Answer 1

`x=+-sqrt(2)`

Explanation:

If `f(x)=g(x)` then `2-x^2=x^2-2`

and `4=2x^2`

`2=x^2`

Therefore,

`x=sqrt(2), x=-sqrt(2)`

Hope this helps :)