SOLUTION: Can someone please provide me with an example of a composite function step by step solution

SOLUTION: Can someone please provide me with an example of a composite function step by step solution

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Question 59471: Can someone please provide me with an example of a composite function step by step solution
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
Here's a problem set I did for someone else a couple of days ago. The last few are composite functions.
:
Use the functions , , and to find each of the following.
(1) (f + g) (-1)

:
(2) (g - f) (x)

:
(3) (fh)(0)

:
(4) (g o f) (-1)=g(f(-1))
f(-1)=2(-1)+7
f(-1)=-2+7
f(-1)=5
g(f(-1))=g(5)
g(5)=(5)^2+3(5)
g(5)=25+15
g(5)=40

:
(5) (f o f) (0)=f(f(0))
f(0)=2(0)+7
f(0)=0+7
f(0)=7
f(f(0))=f(7)
f(7)=2(7)+7
f(7)=14+7
f(7)=21

:
(6) (g/f) (4)

:
(7) (g o h) (1/2)=g(h(1/2))

g(h(1/2))=g(-2/13)

:
(8) (f o g o h) (8)=(fog)(h(8))

(fog)(h(8))=(fog)(1)=f(g(1))

f(g(1))=f(4)
f(4)=2(4)+7
f(4)=8+7
f(4)=15

:
Happy Calculating!!!

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