Find (f∘g)(x).
f(x)=3x+1
g(x)=5x
Write your answer as a polynomial in simplest form.
(f∘g)(x)=
First, find g(x):
g(x) = 5x
Now substitute g(x) into f(x):
f(g(x)) = 3(5x) + 1
Multiply:
f(g(x)) = 15x + 1
So, (f∘g)(x) = 15x + 1.
To find (f∘g)(x), we need to perform the function g(x) first and then substitute the result into the function f(x).
First, let's evaluate g(x):
g(x) = 5x
Next, we substitute the result of g(x) into f(x):
f(g(x)) = f(5x) = 3(5x) + 1 = 15x + 1
Therefore, (f∘g)(x) = 15x + 1.
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)) + 1
Now, substitute g(x) with its expression:
f(g(x)) = 3(5x) + 1
Simplify the expression:
f(g(x)) = 15x + 1
So, (f∘g)(x) = 15x + 1