stener stener
  • 30-03-2021
  • Mathematics
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Let f(x)=x+1 and g(x)=5x evaluate the composition (f•g)(-1)

Respuesta :

mirai123
mirai123 mirai123
  • 30-03-2021

Answer:

[tex](f\circ g )(x) = -4[/tex]

Step-by-step explanation:

We have

[tex](f\circ g )(x) := f(g(x))[/tex]

Therefore,

[tex]f(x)=x+1 \implies f(x)=g(x)+1[/tex]

So,

[tex](f\circ g )(x) = 5x + 1[/tex]

For [tex]x = -1:[/tex]

[tex](f\circ g )(x) = 5(-1) + 1 = -5+1=-4[/tex]

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