Let f : R → R and g : R → R be defined by f ( x ) = 2 x + 1 & g ( x ) = x 2 - 2 determine ( g o f ) ( x ) =

Question

Let f : R → R and g : R → R be defined by f ( x ) = 2 x + 1 & g ( x ) = x 2 - 2 determine ( g o f ) ( x ) =, 2 x 2 − 3, 4 x 2 + 4 x − 1, 4 x 2 + 4 x + 1, 2 x 2 − 4

MARKS App · Accepted Answer

Given that f : R → R defined by f ( x ) = 2 x + 1 and g : R → R defined by g ( x ) = x 2 - 2 Now, g o f ( x ) = g f ( x ) = g 2 x + 1 = 2 x + 1 2 - 2 = 4 x 2 + 1 + 4 x - 2 = 4 x 2 + 4 x - 1

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