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Given f ( x ) = 2 + 3x - x2 and g ( x ) = 2 x -1 evaluate ( f + g ) ( 4)
Solution
Through evaluate we mean one of two things based on what is in the parenthesis. If there is a number in the parenthesis then we desire a number. If there is an x (or no parenthesis, as that implies & x) then we will carry out the operation and simplify as much as possible.
( f + g ) ( 4) = f ( 4) + g ( 4)
= (2 + 3( 4) - 42 ) + (2 + 4( -1)
= -2 + 7
= 5
We desire to look at the graph of quadratic function. The most general form of a quadratic function is, f (x ) = ax 2 + bx
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