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OpenStudy (hahawowoh):
Please help, will fan & medal!
If f(x) = x+2 and g(x) = 2x-5 find f[g(4)]
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OpenStudy (alexishope47):
Combine the equations to get
f(g(x))= (2x-5)+2
Then, substitute x for 4.
OpenStudy (knov):
imagine it output and input. x is an input for you. g(4) here 4 is input for you
OpenStudy (knov):
and output here is g(4)=2*4-5
OpenStudy (alexishope47):
All that f(g(x)) means is that the equation for g(x) is being used as a replacement for the x value in the f(x).
OpenStudy (alexishope47):
And when there is a number there it means that x will equal that number.
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OpenStudy (knov):
f[g(4)] you can locate the input here
OpenStudy (hahawowoh):
So the equation I have is f(g(4)) = (2x-5)+2
OpenStudy (alexishope47):
YES! well if you have the 4 there then that mean you just have to plug the 4 in as a replacement of x so it looks like
f(g(4))=(2(4)-5))+2
OpenStudy (hahawowoh):
Yay!! So is that the answer?
OpenStudy (alexishope47):
Well you can simplify now.2 times 4 is 8. Minus 5 is 3. Plus 2 is 5. So the answer is 5.
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OpenStudy (hahawowoh):
Thank you so much!!!
OpenStudy (alexishope47):
Absolutely! Glad to be of assistance!
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