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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 f(x) = x + 1 and g(x) = 1/x The graph of (fog)(x) is shown below. What is the-example-1

1 Answer

14 votes

Answer:

Range is
\y

Explanation:


f(x)=x+1\\g(x)=(1)/(x)\\ \\(f\circ g)(x)=f(g(x))=f((1)/(x))=(1)/(x)+1

Thus, the range of the composite function is
\y\\eq 1\, indicated by the horizontal asymptote.

User Sergey Kritskiy
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