Answer:
Option D - 0.75
Step-by-step explanation:
Given : Equation [tex]-4^x+1=3x-4[/tex]
To find : Solve the equation for x by graphing ?
Solution :
Let the equation,
[tex]y=-4^x+1[/tex] ......(1)
[tex]y=3x-4[/tex] ......(2)
Plot the two equations by graphing tool.
Equation (1) [tex]y=-4^x+1[/tex] with red curve passing through origin (0,0).
Equation (2) [tex]y=3x-4[/tex] with blue line passing through origin (0,-4) and (1.33,0)
The intersection point of both the equation is (0.739,-1.784).
So, The solution of x value is approximately x=0.75.
Therefore, Option D is correct.
Refer the attached figure below.
