Respuesta :

Hrishii

Answer:

(-1, 4) and (2, 7)

Step-by-step explanation:

  • Graphs f(x) & g (x) are intersecting each other.

  • -> f(x) = g(x)

  • [tex]\implies x^2+3 =x + 5[/tex]

  • [tex]\implies x^2+3 -x -5=0[/tex]

  • [tex]\implies x^2 -x -2=0[/tex]

  • [tex]\implies x^2 -2x +x-2=0[/tex]

  • [tex]\implies x(x -2) +1(x-2)=0[/tex]

  • [tex]\implies (x -2)(x+1)=0[/tex]

  • [tex]\implies (x -2)=0,\:\: (x+1)=0[/tex]

  • [tex]\implies x=2\:\: x=-1[/tex]

  • [tex]\implies x=-1,\:\:2[/tex]

  • When x = -1

  • [tex]f(x) = (-1)^2+3 = 1 +3 = 4 [/tex]

  • -> (x, f(x)) = (-1, 4)

  • & When x = 2

  • [tex]f(x) = (2)^2+3 = 4 +3 = 7 [/tex]

  • -> (x, f(x)) = (2, 7)

  • Thus, the points of intersection of the functions f(x) and g(x) are (-1, 4) and (2, 7)

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