Question

Use the graph that shows the solution f(x) = G (x)

F(x) = -3/4x^2 + 3x + 1
G(x) = 2^x
What is the solution to f(x) = g(x)
Select each correct answer
A- 0
B-1
C-2
D-4

Answer 1

The correct options are A and C.

Explanation:

The given functions are

`F(x)=-(3)/(4)x^2+3x+1`

`G(x)=2^x`

We have to find to solution for the equation

`F(x)=G(x)`

`-(3)/(4)x^2+3x+1=2^x`

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.