1. p o q(x) = p[ q(x) ]
= p( 4x + 3 )
= 3 - 2( 4x + 3 )
= 3 - 8x - 6
= - 8x - 3
2. p o r(x) = p[ r(x) ]
= p( 5x - 2 )
= 3 - 2( 5x - 2 )
= 3 - 10x + 4
= 7 - 10x
3. p o s(x) = p[ s(x) ]
= p( 6 + 7x )
= 3 - 2( 6 + 7x )
= 3 - 12 - 14x
= -14x - 9
4. p o t(x) = p[ t(x) ]
= p( -3 + 5x )
= 3 - 2( -3 + 5x )
= 3 + 6 - 10x
= 9 - 10x
5. q o p(x) = q[ p(x) ]
= q( 3 - 2x )
= 4( 3 - 2x ) + 3
= 12 - 8x + 3
= 15 - 8x
6. q o r(x) = q[ r(x) ]
= q( 5x - 2 )
= 4( 5x - 2 ) + 3
= 20x - 8 + 3
= 20x - 5
7. q o s(x) = q[ s(x) ]
= q( 6 + 7x )
= 4( 6 + 7x ) + 3
= 24 + 28x + 3
= 28x + 27
8. q o t(x) = q[ t(x) ]
= q( -3 + 5x )
= 4( -3 + 5x ) + 3
= -12 + 20x + 3
= 20x - 9
9. r o p(x) = r[ p(x) ]
= r( 3 - 2x )
= 5( 3 - 2x ) - 2
= 15 - 10x - 2
= 13 - 10x
10. r o q(x) = r[ q(x) ]
= r( 4x + 3 )
= 5( 4x + 3 ) - 2
= 20x + 15 - 2
= 20x + 13
11. r o s(x) = r[ s(x) ]
= r( 6 + 7x )
= 5( 6 + 7x ) - 2
= 30 + 35x - 2
= 35x + 28
12. r o t(x) = r[ t(x) ]
= r( -3 + 5x )
= 5( -3 + 5x ) - 2
= -15 + 25x - 2
= 25x - 17
13. s o p(x) = s[ p(x) ]
= s( 3 - 2x )
= 6 + 7( 3 - 2x )
= 6 + 21 - 14x
= 27 - 14x
14. s o q(x) = s[ q(x) ]
= s( 4x + 3 )
= 6 + 7( 4x + 3 )
= 6 + 28x + 21
= 28x + 27
15. s o r(x) = s[ r(x) ]
= s( 5x - 2 )
= 6 + 7( 5x - 2 )
= 6 + 35x - 14
= 35x - 8
16. s o t(x) = s[ t(x) ]
= s( -3 + 5x )
= 6 + 7( -3 + 5x )
= 6 - 21 + 35x
= 35x - 15
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