Question

If f(x)=x2-2and g(x)=x-3 what is (fog)(x)?

Answer 1

(x-3)²-2

Explanation:

We have given two functions and we have to find their compositions.

f(x) = x²-2 and g(x) = x-3

(fog)(x) = ?

The formula to find the composition of two functions is:

(fog)(x) = f(g(x))

putting the value of given functions , we get

(fog)(x) = f(x-3)

(fog)(x) = (x-3)²-2

hence, the answer is (x-3)²-2 .

Answer 2

The Answer is
`(x-3)^(2)` -2

Explanation:

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

and g(x)= x-3

Now fog(x) is a composite function

i.e. A function that depends on another function

Here domain of f(x) is g(x)

i.e. g(x) is substituted in place of x

i.e. we substitute x with x-3

So f(g(x))

=f(x-3)

=
`(x-3)^(2)` -2