Determine: f(x)=2x^2+4x-7, g(x)sqrt(x-3), h(x)=4^x, a) f(g(19)), b) g(f(7)), c) f(h(-1/2))

posader86

posader86

Answered question

2022-07-26

Determine:
F ( x ) = 2 x 2 + 4 x 7 g ( x ) = x 3 h ( x ) = 4 x
a) f ( g ( 19 ) )
b) g ( f ( 7 ) )
c) f ( h ( 1 2 ) )

Answer & Explanation

Dominique Ferrell

Dominique Ferrell

Beginner2022-07-27Added 18 answers

Step 1
a) f ( g ( 19 ) ) f ( 19 3 ) = f ( 4 ) = 2 ( 4 ) 2 + 4 ( 4 ) 7 = 41
b) g ( f ( 7 ) ) = g ( 2 ( 7 ) 2 + 4 ( 7 ) 7 ) = g ( 119 ) = 119 3 = 116 = 116
c) f ( h ( 1 2 ) ) = f ( 4 1 2 ) = f ( 2 1 ) = f ( 1 2 ) = 2 ( 1 2 ) 2 + 4 ( 1 2 ) 7 = 1 2 + 2 7 = 4.5

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