Find (f∘g)(x).
f(x)=4x–7
g(x)=
–
4x–5
Write your answer as a polynomial in simplest form.
(f∘g)(x)=
To find (f∘g)(x), we need to substitute g(x) into f(x). Thus,
(f∘g)(x) = f(g(x))
= f(-4x - 5)
= 4(-4x - 5) - 7
= -16x - 20 - 7
= -16x - 27
To find (f∘g)(x), we substitute g(x) into f(x) and simplify the expression.
First, we substitute g(x) into f(x):
f(g(x)) = 4(g(x)) - 7
Now, we substitute g(x) = -4x - 5 into f(g(x)):
f(g(x)) = 4(-4x - 5) - 7
Next, we distribute the 4:
f(g(x)) = -16x - 20 - 7
Simplifying the expression, we combine like terms:
f(g(x)) = -16x - 27
Therefore, (f∘g)(x) = -16x - 27.
To find (f∘g)(x), we need to substitute g(x) into f(x) and simplify.
First, let's substitute g(x) into f(x):
(f∘g)(x) = f(g(x)) = 4(g(x)) - 7
Now, let's substitute g(x) = -4x - 5:
(f∘g)(x) = 4(-4x - 5) - 7
Simplify the expression inside the parentheses:
(f∘g)(x) = -16x - 20 - 7
Combine like terms:
(f∘g)(x) = -16x - 27
Therefore, (f∘g)(x) = -16x - 27.