Description
Two worked examples
Presentation Transcript
Functions : Functions
Slide 2 : f( x) = 2x+ 3
g( x) = 2x- 3 f( g( x) ) f( 2x- 3 ) = 2( 2x- 3 ) + 3 f( 2x- 3 ) = 4 x- 6 + 3 f( 2x- 3 ) = 4 x- 3 g( f( x) ) g( 2x+ 3 ) = 2( 2x+ 3 ) - 3 g( 2x+ 3 ) = 4 x+ 6 - 3 g( 2x+ 3 ) = 4 x+ 3 Given x is a real number, Determine the least possible value of the product f(g(x)) × g(f(x)) (3) f(g(x)) × g(f(x)) = (4x-3)(4x+3) = 16x2 - 9 The least possible value of the product is -9 (2) Ex 1
Slide 3 : Ex 2
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