Find f(x)·g(x) if f(x) = 3x and g(x) = x + 1.
A. 3x2 + 3x
B. 3x + 1
C. 4x + 1
D. 3x2 + 1
D
f(x) · g(x) = 3x(x+1)
= 3x^2 + 3x
To find the product of f(x) and g(x), which is f(x) · g(x), you need to multiply the two functions together.
f(x) = 3x
g(x) = x + 1
To multiply 3x by (x + 1), you need to distribute the 3x to both terms in (x + 1).
Multiply 3x by x:
3x * x = 3x^2 (3 times x equals 3x squared)
Multiply 3x by 1:
3x * 1 = 3x
Therefore, f(x) · g(x) equals 3x^2 + 3x.
So the correct answer is D. 3x^2 + 1.