If f(x)=2x+1 and g(x)=x-3, find f(g(f(x)))

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Okrutny asked Apr 15, 2022

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If f(x)=2x+1 and g(x)=x-3, find f(g(f(x)))

Mathematics
college

Okrutny asked Apr 15, 2022

by Okrutny

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17 votes

Answer:

$g(f(x)) = (2x + 1) - 3 \\ = 2x + 1 - 3 \\ = 2x - 2 \\ \\ f(g(f(x))) = 2(2x - 2) + 1 \\ = 4x - 4 + 1 \\ = 4x - 3$

I hope I helped you^_^

Bliksem answered Apr 17, 2022

by Bliksem

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21 votes

f( g( f(x) ) ) = f( g( 2x+1 ) )

= f( 2x+1 -3 )

= f( 2x-2 )

= 2(2x-2) +1

= 4x -4 + 1

= 4x -3

Maksym Gontar answered Apr 19, 2022

by Maksym Gontar

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