If f(x)=√2x +1 and g(x)=√2 • x, evaluate (f•g)(x) when x=2.
A.) 3√2
B.) 6√2
C.) 2√10
D.) 6
To find (f•g)(x), we need to multiply f(x) and g(x) together.
Given:
f(x) = √(2x) + 1
g(x) = √2 • x
First, let's find f(2):
f(2) = √(2(2)) + 1
f(2) = √4 + 1
f(2) = 2 + 1
f(2) = 3
Next, let's find g(2):
g(2) = √2 • 2
g(2) = √4
g(2) = 2
Now, multiply f(2) and g(2) together:
(f•g)(2) = 3 • 2
(f•g)(2) = 6
Therefore, the answer is D.) 6.