Question

Left f(x)=x+1 and g(x)=1/x the graph of (f•g) (x) is shown below

Answer 1

Range of the function → (-∞, 1)∪(1, ∞)

Explanation:

Two function has been given as,

f(x) = (x + 1)

and g(x) =
`(1)/(x)`

Then (fog)(x) = f[g(x)]

Now f[g(x)] =
`(1)/(x)+1`

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]