Question

If f(x)=3x-2 and g(x)=x2+1 find (f+g)(x)

Answer 1

The value of (f+g) x=
`x^(2)+3 x-2+1`

Solution:

From question given that f(x)=3x-2 --- eqn 1(1)

And
`g(x)=x^(2)+1` --- 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),

`(f+g) x=3 x-2+x^(2)+1`

Rewrite the above term,

`(f+g) x=x^(2)+3 x-1`

On simplifying the above term,

`(f+g) x=x^(2)+3 x-1`

Hence value of (f+g) x=
`x^(2)+3 x-2+1`