Let f(x) = x + 1 and g(x) = 1/x The graph of (fog)(x) is shown below. What is the range of (fog)(x)?

Patriotic asked Mar 5, 2023

526,428 views

19 votes

Patriotic asked Mar 5, 2023

3.2k points

Your comment on this question:

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Email me at this address if my answer is selected or commented on:Email me if my answer is selected or commented on

Privacy: Your email address will only be used for sending these notifications.

19 votes

Answer:

Range is
$\y$

Explanation:

$f(x)=x+1\\g(x)=(1)/(x)\\ \\(f\circ g)(x)=f(g(x))=f((1)/(x))=(1)/(x)+1$

Thus, the range of the composite function is
$\y\\eq 1\$ , indicated by the horizontal asymptote.

Laxonline answered Mar 11, 2023

2.7k points

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

1.6m questions

2.0m answers