Use the graph that shows the solution to f(x)=g(x) . f(x)=−3/4x2+3x+1 g(x)=2x What is the solution to f(x)=g(x) ?
Select each correct answer.

x = 0

x = 1

x = 2

x = 4

Option C: is the solution of the graph.

Explanation:

The function is and

We need to determine the solution of the function.

The solution can be determined by equating

Thus, we have,

Subtracting both sides by 2x, we have,

Multiplying both sides by 4, we have,

Factoring, we get,

Factoring out the common terms, we have,

Simplifying, we get,

Thus, we have,

 or

Simplifying, we get,

 or  

Thus, the solution of the graph is

Therefore, Option C is the correct answer.

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step-by-step explanation: