Find (f∘g)(x).
f(x)=4x–1
g(x)=2x2–3x+4
Write your answer as a polynomial in simplest form.
(f∘g)(x)=
To find (f∘g)(x), we need to substitute the expression for g(x) into f(x):
f(g(x)) = 4(2x^2-3x+4) - 1
Multiplying through, we get:
f(g(x)) = 8x^2 - 12x + 16 - 1
Simplifying, we have:
(f∘g)(x) = 8x^2 - 12x + 15
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)) = 4(g(x)) - 1
Now, let's substitute g(x) with its expression:
f(g(x)) = 4(2x^2 - 3x + 4) - 1
Next, let's simplify the expression:
f(g(x)) = 8x^2 - 12x + 16 - 1
Combine like terms:
f(g(x)) = 8x^2 - 12x + 15
Therefore, (f∘g)(x) equals 8x^2 - 12x + 15.
To find (f∘g)(x), we need to substitute g(x) into f(x) and simplify the expression.
First, let's find g(x) by substituting x into the function g(x).
g(x) = 2x^2 - 3x + 4
Next, we substitute g(x) into f(x):
f(g(x)) = 4(g(x)) - 1
Now, replace g(x) with its expression:
f(g(x)) = 4(2x^2 - 3x + 4) - 1
Simplify the expression within the parentheses:
f(g(x)) = 8x^2 - 12x + 16 - 1
Combine like terms:
f(g(x)) = 8x^2 - 12x + 15
Therefore, (f∘g)(x) = 8x^2 - 12x + 15.