How to find (goh)(1) given g(x)=x^2+4+2x and h(x)=-3x+2?

Seamus Livingston

Seamus Livingston

Answered question

2023-02-15

How to find ( g o h ) ( 1 ) given g ( x ) = x 2 + 4 + 2 x and h ( x ) = - 3 x + 2 ?

Answer & Explanation

pbaqokrf5o9

pbaqokrf5o9

Beginner2023-02-16Added 2 answers

Given solution:
Find (g○h)(x) = g(h(x)) to begin with.
g ( h ( x ) ) = g ( - 3 x + 2 )
g ( h ( x ) ) = ( - 3 x + 2 ) 2 + 4 + 2 ( - 3 x + 2 )
g ( h ( x ) ) = 9 x 2 - 12 x + 4 + 4 - 6 x + 4
g ( h ( x ) ) = 9 x 2 - 18 x + 12
( g h ) ( 1 ) = ( 9 × 1 2 ) - ( 18 × 1 ) + 12
( g h ) ( 1 ) = 9 - 18 + 12
( g h ) ( 1 ) = 3

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