Question

Solve the equation for x by graphing -4^x+1=3x-4 A. X=-1.75 B. X=0 C. X=-0.75 D. X=0.75

Answer 1

D. X=0.75

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Answer 2

Option D - 0.75

Explanation:

Given : Equation
`-4^x+1=3x-4`

To find : Solve the equation for x by graphing ?

Solution :

Let the equation,

`y=-4^x+1` ......(1)

`y=3x-4` ......(2)

Plot the two equations by graphing tool.

Equation (1)
`y=-4^x+1` with red curve passing through origin (0,0).

Equation (2)
`y=3x-4` 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.