Question

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

Answer 1

Answer:

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= $x^{2}+3 x-2+1$