If f(x)=x/2-3 and g(x)=3x^2+x-6, find (f+g)(x)

The answer is:

We are working with function addition, to add or subtract two o more functions, we need to follow the following form:

To simplify the expression, we need to work with the like terms, like terms are the terms that share the same variable and the same coefficient, for example:

We were able to add only the first two terms since the third term does not share the exponent with the other two.

We are given the functions:

So, solving, we have:

Hence, the answer is:

Have a nice day!

step-by-step explanation:

their are no angles. sorry cant .

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for