78,195 views
9 votes
9 votes
If f(x) = -1x + 1and g(x) = x4, what is (f º g)(x)?

User ErvalhouS
by
2.5k points

1 Answer

14 votes
14 votes

Answer:

(f º g) =
-x^4+1

Explanation:

So it's important to note that the notation: "(f º g)" isn't f(x) * g(x), it's a composite function, where you essentially have two functions, with one of the functions being the argument of one of the functions.

This means we can plug in the function g(x) as x into the function f. So let's do that

Original Function:

f(x) = -1x + 1

Plug in x^4 (this is the value of g(x)) as x into the function

f(g(x)) =
-(x^4)+1

Distribute the negative sign

f(g(x)) =
-x^4+1

User Bobby Grenier
by
2.7k points