Question

For f(x) = 2x+1 and g(x) = x+14, find (gof)(x).

Answer 1

Answer: OPTION B

Step-by-step explanation:

You can observe that the exercise provides you two Linear functions.

The first Linear function is the function f(x). This is:

$f(x) = 2x+1$

And the other Linear function is the function g(x):

$g(x) = x+14$

In order to find $(gof)(x)$, you need to follow these steps shown below:

Step 1:

You must substitute the function f(x) into the function g(x); this means that the function f(x) will be in the place of the variable "x" of the function g(x); as you can observe below:

$(gof)(x) = (2x+1)+14$

Step 2:

Finally you must combine the like terms (You can notice that the like terms are 1 and 14; then you must add them). Therefore, you get that  $(gof)(x)$ is:

$(gof)(x) = 2x+1+14\\\\(gof)(x) = 2x+15$