michaelahcollier michaelahcollier
  • 09-12-2019
  • Mathematics
contestada

Let f(x)=1-x+x squared and g(x)= square root of 5+x. Determine (f•g)(4)

Respuesta :

andrew8253 andrew8253
  • 15-12-2019

Answer:

(f•g)(4) = 7

Step-by-step explanation:

It is given that [tex]f(x) = 1 - x + x^{2}[/tex] and [tex]g(x) = \sqrt{x + 5}[/tex]

(f•g)(x) = f(g(x)) = [tex]1 - g(x) + g(x)^{2}[/tex] = [tex]1 - \sqrt{x + 5} + (x + 5)[/tex]

Putting x = 4 in the above equation, we get (f•g)(4) = [tex]1 - \sqrt{5 + 4} + (5 + 4)[/tex] = 1 +9 - 3 = 7

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