SOLUTION: Construct two composite functions (g º f) (x)= (g º f) (2)= (f º g) (x)= (f º g) (2)=
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Question 831331
:
Construct two composite functions
(g º f) (x)=
(g º f) (2)=
(f º g) (x)=
(f º g) (2)=
Answer by
stanbon(75887)
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Construct two composite functions:
f(x) = x + 5 ; g(x) = x^2
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(g º f) (x)= g[f(x)] = g[x+5] = (x+5) = x^2 + 10x + 25
-----------------------------------------------------
(g º f) (2)= 2^2 + 10*2 + 25 = 4+100+25 = 129
----------------------------------------------------
(f º g) (x)= f[g(x)] = f[x^2] = x^2+5
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(f º g) (2)= 2^2+5 = 4+5 = 9
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Cheers,
Stan H.
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