newnaty1668 newnaty1668
  • 18-03-2022
  • Mathematics
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Let f(x) = x + 1 and g(x) = 1/x The graph of (fog)(x) is shown below. What is the range of (fog)(x)?

Let fx x 1 and gx 1x The graph of fogx is shown below What is the range of fogx class=

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goddessboi goddessboi
  • 18-03-2022

Answer:

Range is [tex]\{y|y\neq 1\}[/tex]

Step-by-step explanation:

[tex]f(x)=x+1\\g(x)=\frac{1}{x}\\ \\(f\circ g)(x)=f(g(x))=f(\frac{1}{x})=\frac{1}{x}+1[/tex]

Thus, the range of the composite function is [tex]\{y|y\neq 1\}[/tex], indicated by the horizontal asymptote.

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