The table below gives values for the functions f and g at selected values of x: | x | f(x) | g(x) | | :---: | :---: | :---: | | 1 | 3 | 5 | | 2 | 5 | 4 | | 3 | 2 | 1 | | 4 | 1 | 2 | | 5 | 4 | 3 | Based on the table, what is the value of f(g(3))?

The table below gives values for the functions f and g at selected values of x: | x | f(x)… — ACT

The table below gives values for the functions $f$ and $g$ at selected values of $x$ :

Based on the table, what is the value of $f(g(3))$ ?

To evaluate the composite function

f(g(3))

, we first evaluate the inner function,

g(3)

. Looking at the table, when

x = 3

g(3) = 1

. We then substitute this output into the outer function to evaluate

f(1)

. According to the table, when

x = 1

f(1) = 3

. Therefore, the value of the composite function is 3.

Locate the input value of 3 in the table to evaluate the inner function

g(3)

g(3) = 1

We must evaluate the inner function first in the composition

f(g(x))

Substitute the result of

g(3)

into the outer function, giving

f(1)

, and find its value in the table.

f(1) = 3

Evaluating

f(x)

x = 1

completes the composition

f(g(3))

Evaluating a composite function from a table of values by finding the output of the inner function and using it as the input for the outer function.

Tahmini Süre:45s