Using the functions f(x) and g(x), we want to evaluate f(3)+g(3).
There are three steps involved in this evaluation.
- We need to substitute 3 for x in the equation f(x).
- We need to substitute 3 for x in the equation g(x).
- We need to add the results.
Let's first take care of the substitution. To do this, we need to substitute
3 for
x in
f(x) and
g(x). Let's begin with
f(3).
f(x)=3x+4
f(3)=3⋅3+4
f(3)=9+4
f(3)=13
Now, let's evaluate the value of
g(3).
g(x)=x2+3
g(3)=32+3
g(3)=9+3
g(3)=12
Finally, let's add these values to each other.
We have found that
f(3)+g(3)=25.