Given f(x) = absoulte value of X and g(x)= x-2. Find (f+g)(x), (f-g)(x), (fg)(x), (f/g)(x) and (f circ g)(x)

betterthennewzv

betterthennewzv

Answered question

2022-08-08

Given f(x) = absoulte value of X and g(x)= x-2. Find ( f + g ) ( x ) , ( f g ) ( x ) , ( f g ) ( x ) , ( f / g ) ( x ) and ( f g ) ( x )

Answer & Explanation

Brogan Navarro

Brogan Navarro

Beginner2022-08-09Added 24 answers

f ( x ) = | x | ;       g ( x ) = x 2
(a)
( f + g ) ( x ) = f ( x ) + g ( x ) ( f + g ) ( x ) = | x | + x 2
(b)
( f g ) ( x ) = f ( x ) g ( x ) ( f g ) ( x ) = | x | x + 2
(c)
( f g ) ( x ) = f ( x ) g ( x ) ( f g ) ( x ) = | x | ( x 2 )
(d)
( f g ) ( x ) = f ( g ( x ) ) ( f g ) ( x ) = | g ( x ) | ( f g ) ( x ) = | x 2 |

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