Question

If f(x) = -1x + 1and g(x) = x4, what is (f º g)(x)?

Answer 1

Answer:

(f º g) = $-x^4+1$

Step-by-step 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)) = $-x^4+1$