Question

Solve the equation for x by graphing.

Answer 1

Option: C is the correct answer.

C) x≈2.25

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