Answer:
The value of (f+g) x=[tex]x^{2}+3 x-2+1[/tex]
Solution:
From question given that f(x)=3x-2 --- eqn 1(1)
And [tex]g(x)=x^{2}+1[/tex] --- eqn 2
We need to calculate (f+g)x
Since (f+g)x=f(x)+g(x) --- eqn (3)
On substituting the value of f(x) and g(x) in equation (3) using equation (1) and (2),
[tex](f+g) x=3 x-2+x^{2}+1[/tex]
Rewrite the above term,
[tex](f+g) x=x^{2}+3 x-1[/tex]
On simplifying the above term,
[tex](f+g) x=x^{2}+3 x-1[/tex]
Hence value of (f+g) x= [tex]x^{2}+3 x-2+1[/tex]
