let f(x)=x+3 and g(x)=1/x. The graph of (f*g)(x) is shown below.

For this case we have the following functions:
[tex]f (x) = x + 3 g (x) = 1 / x[/tex] When composing the functions we have:
[tex] (fog) (x) = f (g (x)) [/tex]
Substituting values we have:
[tex] (fog) (x) = ((1 / x) +3) [/tex]
Rewriting:
[tex] (fog) (x) = 1 / x + 3 [/tex]
The function has a horizontal asymptote at y = 3.
Therefore, the range of the function is all reals minus y = 3.
Answer:
option 3

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jainveenamrata jainveenamrata · Answer 2 · 2022-06-06T14:07:56+02:00

The function has a horizontal asymptote at y = 3.

What is an asymptote?

An asymptote is a line that constantly reaches a given curve but does not touch at an infinite distance.

The functions are given below.

f(x) = x + 3

g(x) = 1/x

Then the function will be

(f o g)(x) = f(g(x))

(f o g)(x) = 1/x + 3

Then we have the function that has a horizontal asymptote at y = 3.

Thus, the correct option is C.

More about the asymptote link is given below.

https://brainly.com/question/17767511

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