Question

If f(x)=x^2 and g(x)=|x| then find the following:‐ 1)(f+g)(2), 2)(f‐g)(‐1), 3)(fg)(e), 4)f^2(4), 5)f(3)+g(3)+3​

Answer 1

Answer:

(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

x

2

(x



=−

2

1

)

Hope it helps you!