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:

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y=20x

: )

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