Question

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)?

Answer 1

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.