Answer:
The solution is approximately x =0.5.
Step-by-step explanation:
Given : Equation [tex]3^{-x} = x^3 + x[/tex]
To find : Use a graphing calculator or online application to find the solution to equation to the nearest tenth ?
Solution :
Let the equation be written as,
[tex]h(x)=3^{-x}[/tex] and [tex]g(x)=x^3+x[/tex]
Plot the equations (1) and (2),
The equation [tex]h(x)=3^{-x}[/tex] plotted with blue line.
The [tex]g(x)=x^3+x[/tex] plotted with red line.
Refer the attached figure below.
The solution of equation is given by intersection point i.e. (0.4798,0.5903).
The solution is approximately x =0.5.
