Find (f∘g)(x).
f(x)=6x+6
g(x)=2x
Write your answer as a polynomial in simplest form.
(f∘g)(x)=
(f∘g)(x) = f(g(x))
= f(2x)
= 6(2x) + 6
= 12x + 6
To find (f∘g)(x), we need to substitute g(x) into f(x) and simplify.
Given:
f(x) = 6x + 6
g(x) = 2x
Substituting g(x) into f(x):
(f∘g)(x) = f(g(x))
Substitute g(x) into f(x):
(f∘g)(x) = f(2x) = 6(2x) + 6
Simplifying the expression:
(f∘g)(x) = 12x + 6
Therefore, (f∘g)(x) = 12x + 6.
To find (f∘g)(x), which represents the composition of functions f and g, you need to substitute the expression for g(x) into f(x) and simplify the resulting expression.
Given:
f(x) = 6x + 6
g(x) = 2x
To find (f∘g)(x), substitute g(x) into f(x):
(f∘g)(x) = f(g(x))
Replacing g(x) with 2x:
(f∘g)(x) = f(2x)
Now substitute 2x into f(x):
(f∘g)(x) = 6(2x) + 6
Simplify the expression:
(f∘g)(x) = 12x + 6
Therefore, (f∘g)(x) = 12x + 6, which is a polynomial in its simplest form.