Answer:
The Answer is [tex](x-3)^{2}[/tex] -2
Step-by-step explanation:
Given f(x) =[tex]x^{2}[/tex] -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)
=[tex](x-3)^{2}[/tex] -2
Answer:
(x-3)²-2
Step-by-step 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 .
