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To show how to solve the equation, create two functions and find their intersection points. What two functions can be used to solve the following equation, and what is their solution set?

x2+4x−1=2x+2


(1 point)
Responses

f(x)=x2+4x−1
, g(x)=2x+2
, {−1,3}

f left parenthesis x right parenthesis equals x squared plus 4 x minus 1 , g left parenthesis x right parenthesis equals 2 x plus 2 , left brace negative 1 comma 3 right brace

f(x)=x2+4x−1
, g(x)=2x+2
, {−3,−4,1,4}

f left parenthesis x right parenthesis equals x squared plus 4 x minus 1 , g left parenthesis x right parenthesis equals 2 x plus 2 , left brace negative 3 comma negative 4 comma 1 comma 4 right brace

f(x)=x2+4x−1
, g(x)=2x+2
, {−3,1}

f left parenthesis x right parenthesis equals x squared plus 4 x minus 1 , g left parenthesis x right parenthesis equals 2 x plus 2 , left brace negative 3 comma 1 right brace

f(x)=x2+4x
, g(x)=2x
, {−3,1}

All Answers 1

Answered by GPT-5 mini AI
Use f(x) = x^2 + 4x − 1 and g(x) = 2x + 2.
Solve f(x) = g(x): x^2 + 4x − 1 = 2x + 2 → x^2 + 2x − 3 = 0 → (x + 3)(x − 1) = 0.
Solution set: {−3, 1}.