Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (iwanttogotostanford):
someone please
OpenStudy (iwanttogotostanford):
@Erak
jimthompson5910 (jim_thompson5910):
can you post a screenshot or draw out the function?
OpenStudy (iwanttogotostanford):
sure
jimthompson5910 (jim_thompson5910):
thanks
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (iwanttogotostanford):
no thank you!
jimthompson5910 (jim_thompson5910):
So one thing we could have is
\[\Large f(x) = \frac{2}{x}+9\]
\[\Large g(x) = x^2\]
OpenStudy (iwanttogotostanford):
so that would be the two separated?
OpenStudy (iwanttogotostanford):
and the first step?
jimthompson5910 (jim_thompson5910):
So one thing we could have is
\[\Large f(x) = \frac{2}{x}+9\]
\[\Large g(x) = x^2\]
Notice what happens when we replace every copy of 'x' with g(x)
\[\Large f(x) = \frac{2}{x}+9\]
\[\Large f({\color{red}{x}}) = \frac{2}{{\color{red}{x}}}+9\]
\[\Large f({\color{red}{g(x)}}) = \frac{2}{{\color{red}{g(x)}}}+9\]
\[\Large f({\color{red}{g(x)}}) = \frac{2}{{\color{red}{x^2}}}+9\]
So I replaced every 'x' with g(x). Then I replaced the g(x) on the right hand side with x^2
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
jimthompson5910 (jim_thompson5910):
So to sum things up
If
\[\Large f(x) = \frac{2}{x}+9\]
\[\Large g(x) = x^2\]
then
\[\Large f(g(x)) = \frac{2}{x^2}+9\]
jimthompson5910 (jim_thompson5910):
yes @iwanttogotostanford
jimthompson5910 (jim_thompson5910):
they just want to know the functions f(x) and g(x)