danielsan142
danielsan142 danielsan142
  • 22-07-2020
  • Mathematics
contestada

Let f(x)= |x| and g(x) = x+2. What are the domain and range of (fog)(x)?

Let fx x and gx x2 What are the domain and range of fogx class=

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r3t40
r3t40 r3t40
  • 22-07-2020

If [tex]f(x)=\mid x\mid[/tex] and [tex]g(x)=x+2[/tex] then [tex]f(g(x))=\mid x+2\mid[/tex].

The domain is [tex]x\in(-\infty, +\infty)=\mathbb{R}[/tex].

The range is [tex]y\in[2,+\infty)[/tex].

Hope this helps.

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minharofamily13
minharofamily13 minharofamily13
  • 04-03-2021

Answer:

D) domain: all real numbers

range: y>0

Step-by-step explanation:

with range there is a horizontal line under the > sign, just as a side note:D

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