Answer:
The correct options are A and C.
Step-by-step explanation:
The given functions are
[tex]F(x)=-\frac{3}{4}x^2+3x+1[/tex]
[tex]G(x)=2^x[/tex]
We have to find to solution for the equation
[tex]F(x)=G(x)[/tex]
[tex]-\frac{3}{4}x^2+3x+1=2^x[/tex]
The solution of the above equation is the intersection of F(x) and G(x).
From the graph it is noticed that both graph intersects each other at (0,1) and (2,4).
The x-coordinates of these points are the solutions of the given equation.
Therefore the solution of given equation are 0 and 2.
Therefore option A and C are correct.