\(\displaystyle{\left({f}^{{\circ}}{g}\right)}\) given: \(\displaystyle{f{{\left({x}\right)}}}={5}{x}^{{{2}}}+{6},{g{{\left({x}\right)}}}={6}{x}-{2}\)

Hugh Soto

Hugh Soto

Answered question

2022-03-31

(fg) given: f(x)=5x2+6,g(x)=6x2

Answer & Explanation

ron4d3ozip7

ron4d3ozip7

Beginner2022-04-01Added 9 answers

Step 1
Given that:
f(x)=5x2+6,g(x)=6x2
Step 2
To calculate (fg)
(fg)(x)=f(g(x))
=5(g(x2))+6
=5(6x2)2+6
=5(36x2+424x)+6
=180x2120x+20+6
=180x2120x+26
Hence,
(fg)(x)=180x2120x+26

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