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37 votes
37 votes
3. Given f ( x ) = x2 + 1 and g ( x ) = x – 4 , find ( f g ) ( x ) and ( f g ) ( 3 ).

User Thermans
by
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2 Answers

17 votes
17 votes

Answer:

=19 !!!!!!!!!!!!!!

Explanation:

User Smnbbrv
by
3.2k points
11 votes
11 votes

Answer: = -10

Explanation:

Step 1. Solve for ( f g ) ( x ).


Since ( f g ) ( x ) = f ( x ) * g ( x ) , then


= (x^2 + 1 ) ( x - 4 )\\= x^3 - 4 x^2 + x - 4

Step 2. Find ( f g ) ( 3 )


Since ( f g ) ( x ) = x^3 -4 x^2 + x -4, then


\\( f g ) ( 3 ) = (3)^3 -4 (3)^2 + (3) -4\\= 27 -36 + 3 -4\\ = -10

User Jimmymcnulty
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2.9k points