Find (f∘g)(x).
f(x)=
–
3x+2
g(x)=
–
3x+10
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).
f(g(x)) = -3(g(x)) + 2
Now let's substitute g(x) into f(x):
f(g(x)) = -3(-3x + 10) + 2
Simplifying the expression:
f(g(x)) = 9x - 30 + 2
f(g(x)) = 9x - 28
Therefore, (f∘g)(x) = 9x - 28.
To find (f∘g)(x), we need to substitute g(x) into f(x).
First, let's find g(x):
g(x) = -3x + 10
Now, substitute g(x) into f(x):
f(g(x)) = -3(g(x)) + 2
Replace g(x) with its expression:
f(g(x)) = -3(-3x + 10) + 2
Simplify the expression:
f(g(x)) = 9x - 30 + 2
Combine like terms:
f(g(x)) = 9x - 28
Therefore, (f∘g)(x) = 9x - 28.
To find (f∘g)(x), we need to substitute g(x) into f(x) and simplify the expression.
First, let's substitute g(x) into f(x):
f(g(x)) = -3(g(x)) + 2
Next, let's substitute the expression for g(x) into f(g(x)):
f(g(x)) = -3(-3x + 10) + 2
Now, let's simplify the expression. Distribute -3 throughout the parentheses:
f(g(x)) = 9x - 30 + 2
Combine like terms:
f(g(x)) = 9x - 28
Therefore, (f∘g)(x) = 9x - 28.