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

Answer:

Range is $\{y|y\neq 1\}$

Step-by-step explanation:

$f(x)=x+1\\g(x)=\frac{1}{x}\\ \\(f\circ g)(x)=f(g(x))=f(\frac{1}{x})=\frac{1}{x}+1$

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