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Mathematics 11 Online
OpenStudy (anonymous):

Could anyone help me with compositions of functions

OpenStudy (amistre64):

only if we know the question ...

OpenStudy (amistre64):

cgi file extension?

OpenStudy (amistre64):

i hope your providing a link that can actually be opened ....

OpenStudy (amistre64):

do you recall what we do when we have say: f(x) = 1 + x ; and x = 3 ?

OpenStudy (amistre64):

correct; this is the same thing, but using a function instead of a value ....

OpenStudy (amistre64):

\[g(x) = x + \sqrt{x} - t\] \[g(f(x)) = f(x) + \sqrt{f(x)} - t\]

OpenStudy (amistre64):

plug in the rule that defines f(x) and simplify as desired

OpenStudy (amistre64):

*-2

OpenStudy (amistre64):

that just defines the domain; it doesnt change the setup itself; only the values for x that can be used.

OpenStudy (amistre64):

for example:\[\frac{x+1}{x+2}\]is only valid for \(x\ne-2\)

OpenStudy (amistre64):

with any luck, maybe :) x^2-10x+25+x-5-2 x^2-9x+18 yes

OpenStudy (anonymous):

what u mean with any luck

OpenStudy (amistre64):

i hadnt worked it out to verify

OpenStudy (anonymous):

how u verify it

OpenStudy (amistre64):

i worked it out notice that at the top of my reply i wasnt sure; then i worked it out and got the same answer as you posted this either means that our results are correct, or that maybe we make the same mistake ...

OpenStudy (anonymous):

well i just used the calculator but i didnt know where to put x (greater than) sign 5 at

OpenStudy (amistre64):

just put in x=5; you should get a value from the range

OpenStudy (amistre64):

|dw:1369142018616:dw|

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