Answer:
Range of the function → (-∞, 1)∪(1, ∞)
Step-by-step explanation:
Two function has been given as,
f(x) = (x + 1)
and g(x) = [tex]\frac{1}{x}[/tex]
Then (fog)(x) = f[g(x)]
Now f[g(x)] = [tex]\frac{1}{x}+1[/tex]
As shown in the graph,
Domain of the graph is (-∞, 0) ∪ (0, ∞) [Since vertical asymptote of the function is x = 0, so x = 0 will not be included in the domain]
And the range is (-∞, 1) ∪ (1, ∞) [Since horizontal asymptote is y = 1, so y = 1 will not be included in the range]
