Question

Use the table to evaluate the expression.

$f\left(f\left(1\right)\right)$

Short answer

The value of$f\left(f\left(1\right)\right)$ is $3$.

Step-by-step solution

– Composition of functions.

Composition of functions is defined as:

$\left(f\circ f\right)\left(x\right)=f\left(f\left(x\right)\right)$

– Given information.

The given table is:

– Find the required value.

From the above table it is clear that $f\left(1\right)=2$and $f\left(2\right)=3$. Use these values to find the required value.

$\begin{array}{c}f\left(f\left(1\right)\right)=f\left(2\right)\\ =3\end{array}$

Thus, the value of$f\left(f\left(1\right)\right)$ is 3.