Find (f o g)(x) and (g o f)(x), ifa) f(x) = x2 – 6x + 2 and g(x) = –2x.b) f(x) = x2 + 3 and g(x) = 2x – 1

shadsiei

shadsiei

Answered question

2021-01-19

Find (f o g)(x) and (g o f)(x), if
a) f(x)=x26x+2 and g(x)=2x.
b) f(x)=x2+3 and g(x)=2x1

Answer & Explanation

Velsenw

Velsenw

Skilled2021-01-20Added 91 answers

a)To find (f o g)(x), replace the x of f(x) by g(x) and simplify: (fog)(x)=f(g(x))=((2x)2)6(2x)+2=(4x2)+12x+2
To find (g o f)(x), replace the x of g(x) by f(x) and simplify: (gof)(x)=g(f(x))=2(x26x+2)=2x2+12x4
b)To find (f o g)(x), replace the x of f(x) by g(x) and simplify: (fog)(x)=f(g(x))=(2x1)2+3=4x24x+1+3=4x24x+4
To find (g o f)(x), replace the x of g(x) by f(x) and simplify: =2(x2+3)+1=2x2+61=2x2+5

Jeffrey Jordon

Jeffrey Jordon

Expert2021-08-10Added 2605 answers

Answer is on video

Jeffrey Jordon

Jeffrey Jordon

Expert2021-08-10Added 2605 answers

Second video with part b

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