Question

Based on the graph below, what is the total number of solutions to the equation f(x) = g(x)?

Answer 1

Answer:

The total number of solutions is one

Step-by-step explanation:

we have

$f(x)=-\frac{11}{3}x+ \frac{11}{3}$

$g(x)=x^{3}+2x^{2}-x-2$

To solve the system of equations equate f(x) and g(x)

$f(x)=g(x)$

The solution of the system of equations is the intersection points both graphs

Using a graphing tool

see the attached figure

The solution of x

$x=1$

There is only one point of intersection both graphs

therefore

The total number of solutions is one