Answer:
x=-1.282
Step-by-step explanation:
To solve the equation [tex]-4x-1=5^x+4[/tex] by graphing, you have to plot graphs of two functions:
[tex]y=-4x-1\\ \\y=5^x+4[/tex]
The x-coordinate of the point of intersection is the solution of the equation.
The graph of the function [tex]y=-4x-1[/tex] is shown in attached diagram with red line and the graph of the function [tex]y=5^x+4[/tex] is shown with blue curve.
The point of intersection has approximate coordinates (-1.282, 4.127), so the solution (correct to three decimal places) of the equation is x=-1.282