Chapter 4, Problem 49RE

To determine

To calculate:

The value of the given function at $x=4$ is to be estimated:

  $f\left(x\right)=12x^6-8x^4+1$

Answer to Problem 49RE

The value of the function $f\left(x\right)=12x^6-8x^4+1$ at $x=4$ is $48953$ .

Explanation of Solution

Given information:

  $\begin{array}{l}f\left(x\right)=12x^6-8x^4+1\\ x=4\end{array}$

Calculation:

The function is given as:

  $f\left(x\right)=12x^6-8x^4+1$

Put the value $x=4$ in $f\left(x\right)$

  $\begin{array}{l}f\left(x\right)=12x^6-8x^4+1\\ f\left(4\right)=12{\left(4\right)}^6-8{\left(4\right)}^4+1\\ f\left(4\right)=\left(12\times 4096\right)-\left(8\times 256\right)+1\\ f\left(4\right)=48953\end{array}$

Hence, $f\left(4\right)=48953$ .