Answer:
Range of the function → (-∞, 1)∪(1, ∞)
Step-by-step explanation:
Two function has been given as,
f(x) = (x + 1)
and g(x) = ![\frac{1}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D)
Then (fog)(x) = f[g(x)]
Now f[g(x)] = ![\frac{1}{x}+1](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D%2B1)
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]