Let f(x)=4x+2 and g(x)=3x^2+3x. After simplifying, (f@g)(x)=?

Globokim8

Globokim8

Answered question

2021-01-25

Let f(x)=4x+2 and g(x)=3x2+3x.
After simplifying, (fg)(x)=?

Answer & Explanation

ottcomn

ottcomn

Skilled2021-01-26Added 97 answers

Compute the composite function as,
fg(x)=f(g(x))
=f(3x2+3x)
4(3x2+3x)+2
=12x2+12x+2
Hence, the composite function fg(x) is,
fg(x)=12x2+12x+2

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