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Question 1015997: If f(x) =2x-5 and g(x)=2, find
a) f(1)
b) g(2)
c) gf(1)
d) fg(2)
Answer by ikleyn(52776)   (Show Source):
You can put this solution on YOUR website! .
If f(x) =2x-5 and g(x)=2, find
a) f(1)
b) g(2)
c) gf(1)
d) fg(2)
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a) Please do it yourself. Simply substitute x = 1 into f(x).
b) Please do it yourself. Simply substitute x = 2 into g(x).
c) The symbol gf indicates here the composition function (gof)(x).
It is gf(x) = (gof)(x) = g(f(x)) == 2 due to the definition of g.
So, gf(1) = 2.
d) The symbol fg indicates here the composition function (fog)(x).
It is fg(x) = (fog)(x) = f(g(x)) = f(2) = 2*2 - 5 = 4 - 1 = -1, the constant value (does not depend on x).
So, fg(1) = -1.
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