Question

what are the solutions to the equation f(x)=g(x)?

Answer 1

one of the solutions is x=0

and the other is x=-2.

Answer 2

Answer:

The solutions to the equation f(x)=g(x) are:

               x= -2 and x=0

Step-by-step explanation:

If we are given two functions f(x) and g(x) then the  solution of the equation :

                                     f(x)=g(x)

are the x-values of the point of intersection of the graphs of both the functions.

Here we are given the function f(x) as:

$f(x)=\dfrac{-3}{2}x$

and

$g(x)=(\dfrac{1}{2})^x-1$

By looking at the graph attached to the answer we observe that the graph of the two functions intersect at (-2,3) and (0,0).

Hence, the solution is:

   x= -2 and x=0