Question

x|3 4 5_________f(x)| 2 3 4x| 2 3 4_______g(x)| 3 5 731. Values for the functions f and g are given in thetables above. What is the value of f g( (3)) ?

Answer 1

The tables of values we have are:

And we are asked to find:

$f(g(3))$

Step 1. The first step is to find g(3).

In g(3) the value of x is given by the number inside the parentheses:

$x=3$

Looking at our table of values for g(x) when the x-value is 3, the g(x) value is:

Thus:

$g(3)=5$

Step 2. Substitute g(3)=5 into the expression:

$f(g(3))=f(5)$

Step 3. Find f(5).

Now we look at the table for f(x) and find the f(x) value when the x-value is 5:

Thus, the answer is:

$f(g(3))=f(5)=\boxed{4}$

Answer: 4