Question

if if f(x) = x² and g(x) = |x| find the value of I) f+gii) f-g iii) fg iv) 2f v) f² vi) f+3​

Answer 1

Step-by-step explanation:

Solution

(f+g)(x)=f(x)+g(x)

=x

2

+2x+1

(f−g)(x)=f(x)−g(x)

=x

2

−(2x+1)

=x

2

−2x−1

(fg)(x)=f(x).g(x)

=x

2

(2x+1)

=2x

3

+x

2

(

g

f

)(x)=

g(x)

f(x)

(g(x)



=0)

=

2x+1

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