Question

If f(x)= 1/x and g(x) = x+3, which of the following is the graph of (fog)(x)?

Answer 1

Awnser- B

Explanation:

I took the quiz on edge 2023

Answer 2

Explanation:

If the two functions are,

f(x) =
`(1)/(x)`

and g(x) = x + 3

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

f[g(x)] =
`(1)/((x+3))`

If we plot the graph of f[g(x)],

There will be a vertical asymptote,

x = -3

And horizontal asymptote,

y = 0

Since options for the graph of f[g(x)] have not been given in the question,

Graph having asymptotes as x = -3 and y = 0 will be the answer.