Chapter 7.5, Problem 49E

To determine

To Find: The solution for the equation $f\left(x\right)=g\left(x\right)$ by the help of graphing calculator.

Answer to Problem 49E

The solution for the given equation is $x=1.3247$ .

Explanation of Solution

Given:

The given equation is,

  $\begin{array}{l}f\left(x\right)=\frac{1}{x}+1\\ g\left(x\right)=x^2\end{array}$

Calculation:

Consider the given equation is,

  $\begin{array}{l}f\left(x\right)=\frac{1}{x}+1\\ g\left(x\right)=x^2\end{array}$

Input the above equation in the calculator as shown in Figure 1

  

Figure 1

Press the graph button to obtain the graph as shown in Figure 2

  

Figure 2

Press the 2^nd Trace to access calculate menu as shown in Figure 3

  

Figure 3

Press 5 to select the intersect option as shown in Figure 4

  

Figure 4

From the above equation the solution for the given equation is $x=1.3247$ .