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Taylor graphs the system below on her graphing calculator and decides that f(x)=g(x) at x=0, x=1, and x=3. Provide Taylor some feedback that explains which part of her answer is incorrect and why it is incorrect.

Taylor graphs the system below on her graphing calculator and decides that fxgx at x0 x1 and x3 Provide Taylor some feedback that explains which part of her ans class=

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Answer:

The part of her answer is incorrect is that f(x)=g(x) at x=3, because this value is not in the solution of the equation f(x)=g(x)

Step-by-step explanation:

f(x)=g(x)

2x+1=2x²+1

This is a quadratic equation. Equaling to zero: Subtracting 2x and 1 from both sides of the equation:

2x+1-2x-1=2x²+1-2x-1

0=2x²-2x

2x²-2x=0

Common factor 2x:

2x(x-1)=0

Two solutions:

x=0

and

x-1=0

Solving for x: Adding 1 both sides of the equation:

x-1+1=0+1→x=1

Then f(x)=g(x) at x=0, and x=3

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