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Mathematics 14 Online
OpenStudy (aizhalee):

ALGEBRA HELP (f•g)(1) and (g•f)(-1)

OpenStudy (aizhalee):

OpenStudy (aizhalee):

@jim_thompson5910 help please

OpenStudy (johnweldon1993):

Hey! idk why that got deleted! lol \[\large (f\cdot g)(1) \rightarrow f(g(1))\]

jimthompson5910 (jim_thompson5910):

Is it \[\Large (f \cdot g)(1)\] or is it \[\Large (f \circ g)(1)\]??

OpenStudy (aizhalee):

theres two questions for the graph the first one is (f•g)(1) the second question is (g•f)(-1)

jimthompson5910 (jim_thompson5910):

If it is \[\Large (f \cdot g)(1)\] then \[\Large (f \cdot g)(1) = f(1) \cdot g(1)\]

OpenStudy (aizhalee):

Ok I'm writing this in my notebook

jimthompson5910 (jim_thompson5910):

to find the value of f(1), you look at the y coordinate of the point on f(x) when x = 1 to find the value of g(1), you look at the y coordinate of the point on g(x) when x = 1

OpenStudy (aizhalee):

yes . I look and I see that g(x) y coordinate is -5 am I right ?

jimthompson5910 (jim_thompson5910):

yes (1,-5) is a point on g(x)

OpenStudy (aizhalee):

wow :) yay and for f(x) is 3

jimthompson5910 (jim_thompson5910):

yes

OpenStudy (aizhalee):

:D Yay . so how do I right this in the function ?

OpenStudy (aizhalee):

is that the answer ?

jimthompson5910 (jim_thompson5910):

no

jimthompson5910 (jim_thompson5910):

to find the value of f(1), you look at the y coordinate of the point on f(x) when x = 1 that y coordinate is 3, so f(1) = 3 to find the value of g(1), you look at the y coordinate of the point on g(x) when x = 1 that y coordinate is -5, so g(1) = -5

jimthompson5910 (jim_thompson5910):

f(1) = 3 g(1) = -5 \[\Large (f \cdot g)(1) = f(1) \cdot g(1)\] \[\Large (f \cdot g)(1) = 3 \cdot (-5)\] \[\Large (f \cdot g)(1) = -15\]

OpenStudy (aizhalee):

I was just about to ask that lol . Thanks a lot Professor Jiim for helping me learn this :)

jimthompson5910 (jim_thompson5910):

you're welcome

OpenStudy (aizhalee):

ok what about the second question the negative 1 I do the same exact thing

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