Question

Given the functions f(x)=x3+5 and g(x)=5x2+x , solve the equation f(x)=g(x) and interpret the solutions. Which of the following statements is correct?(1 point) Responses The solution to f(x)=g(x) is x=−54 and x=1 . This means that f(x) and g(x) have two points of intersection. The solution to f left parenthesis x right parenthesis equals g left parenthesis x right parenthesis is x equals negative Start Fraction 5 over 4 End Fraction and x equals 1 . This means that f left parenthesis x right parenthesis and g left parenthesis x right parenthesis have two points of intersection. The solution to f(x)=g(x) is x=−1 , x=1 , and x=5 . This means that f(x) and g(x) each have three x-intercepts. The solution to f left parenthesis x right parenthesis equals g left parenthesis x right parenthesis is x equals negative 1 , x equals 1 , and x equals 5 . This means that f left parenthesis x right parenthesis and g left parenthesis x right parenthesis each have three x -intercepts. The solution to f(x)=g(x) is x=−1 , x=1 , and x=5 . This means that f(x) and g(x) have three points of intersection. The solution to f left parenthesis x right parenthesis equals g left parenthesis x right parenthesis is x equals negative 1 , x equals 1 , and x equals 5 . This means that f left parenthesis x right parenthesis and g left parenthesis x right parenthesis have three points of intersection. The solution to f(x)=g(x) is x=−54 and x=1 . This means that f(x) and g(x) each have two x-intercepts.

Answer 1

The solution to f(x) = g(x) is x = -1, x = 1, and x = 5. This means that f(x) and g(x) have three points of intersection.