Question

Solve the equation for x by graphing.

Answer 1

I'm pretty sure the answer is C. x ~ 2.25

Answer 2

Answer:

Option: C is the correct answer.

            C)   x≈2.25

Step-by-step explanation:

We have to solve for x by graphing the equation which is given by:

              $-2^x+3=-3^{-x}-2$

i.e. the solution of this equation is equal to the solution of the system of equation:

              $y=-2^x+3$

and              $y=-3^{-x}-2$

i.e. the solution is the point of intersection of the above system of equation.

Hence, we will graph the system of equation and check the x-value of the point of their intersection.

By looking at the graph we see that the graph intersect at:

            (2.344,-2.076)

Hence, x=2.344 is close to 2.25

                Hence, we get:

                          x ≈ 2.25