Question

Which value represents the result of the function (g+f)(x)=√x+f(x) when f(x)=2ˣ^/² and g(x)=√x-3?

A. √x+2ˣ^/²+√x-3
B. √2x+2ˣ^/²-3
C. √x+2ˣ^/²-3
D. √x+2ˣ^/²-6

Answer 1

The value of (g+f)(x) is √x + 2ˣ^/² - 3.

Step-by-step explanation:

To find the value of (g+f)(x), we first need to substitute the given functions f(x) and g(x) into the expression. So, (g+f)(x) will become:

(g+f)(x) = √x + f(x) = √x + 2ˣ^/²

Now we simplify the expression by combining like terms:

(g+f)(x) = √x + 2ˣ^/²

Therefore, the correct option is C. √x + 2ˣ^/² - 3.