Question

F(x)=g(x)

f(x)=-¾x²+3x+1
g(x)=(sqrt x)-1

what is the solution to f(x)=g(x)
1. x=0
2. x=1
3. x=2
4. x=4​

Answer 1

(d) x = 4

Explanation:

You want the solution to the system of equations using the given graph.

• f(x) = -3/4x² +3x +1
• g(x) = (√x) -1
• f(x) = g(x)

Graph

The solution to the equation f(x) = g(x) is the x-coordinate of the point(s) on their graphs where the curves intersect.

The graph shows the point of intersection of the two functions is (4, 1). This is the solution you have marked in the supplied image.

x = 4

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