Q. 8.139 - Intermediate Algebra

Question

For the function $f\left(x\right)=\sqrt[4]{3x+4},$find

(a) $f\left(4\right) and ( b).f\left(-1\right).$

Step-by-Step Solution

Answer

The value of the function

(a) $f\left(4\right)=2$

(b) $f\left(-1\right)=1$

Step 1. Given Information

$f\left(x\right)=\sqrt[4]{3x+4}$

We have to find $f\left(4\right)$ and $f\left(-1\right).$

Part (a) Step 1. Replace x = 4   in the given function respectively

$$\begin{gathered} f\left(4\right)=\sqrt[4]{3\left(4\right)+4}=\sqrt[4]{16} \\ f\left(4\right)=\sqrt[4]{2\times 2\times 2\times 2}=2 \end{gathered}$$

Part (b) Step 1. Replace x = - 1 in the equation

$f\left(-1\right)=\sqrt[4]{3\left(-1\right)+4}=\sqrt[4]{1}=1$