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Graph the functions on the same coordinate plane.

f(x)=x2−4x+5g(x)=x+1
What are the solutions to the equation where f(x) = g(x)?

Question 1 options:

1


2


3


4

Respuesta :

sqdancefan

Answer:

  • x = 1
  • x = 4

Step-by-step explanation:

The graph shows g(x) intersects f(x) in two places, where x=1, and where x=4.

Ver imagen sqdancefan

Answer:

The solutions of given equation are 1 and 4.

Step-by-step explanation:

The given functions are

[tex]f(x)=x^2-4x+5[/tex]

[tex]g(x)=x+1[/tex]

We have to find the solutions of given equation [tex]f(x)=g(x)[/tex].

[tex]x^2-4x+5=x+1[/tex]

[tex]x^2-4x+5-x-1=0[/tex]

[tex]x^2-5x+4=0[/tex]

[tex]x^2-4x-1x+4=0[/tex]

[tex]x(x-4)-1(x-4)=0[/tex]

[tex](x-4)(x-1)=0[/tex]

[tex]x=4,1[/tex]

Therefore the solutions of given equation are 1 and 4.

Ver imagen DelcieRiveria

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