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Find the rules for the composite functions fog and gof. f(x)=sqrt(x+8);g(x)=(1)/(x-8) fog= gof= Find the rules for the composite functions f o g and g o f. 1 f(x=x+8;gx= X-8 =60 =106

          Find the rules for the composite functions fog and gof.
f(x)=sqrt(x+8);g(x)=(1)/(x-8)
fog=
gof=
Find the rules for the composite functions f o g and g o f.
1 f(x=x+8;gx= X-8
=60
=106
        
find the rules for the composite functions fog and gof fxsqrtx8gx1x 8 fog gof find the rules for the composite functions f o g and g o f 1 fxx8gx x 8 60 106 99668

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Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
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Find the rules for the composite functions fog and gof. f(x)=sqrt(x+8);g(x)=(1)/(x-8) fog= gof= Find the rules for the composite functions f o g and g o f. 1 f(x=x+8;gx= X-8 =60 =106
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Transcript

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00:01 In this problem, we have been given two functions, f of x and g of x.
00:05 Now, first of all, we need to determine f composition g.
00:09 By the definition of composition of two functions, f composition g of x is equal to f of d of x.
00:17 So this will be f of dx.
00:20 Dx is x square.
00:21 We can obtain f of x square by replacing x by x by x square in the expression for fx.
00:27 So we will have x square, whole square, plus x, x, square plus 1...
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