Question

f Find f+9,7-9, fg and g Determine the domain for each function. f(x)= 3x + 2, g(x) = x + 1 (f+g)(x) = (Simplify your answer.)​

Answer 1

The domain of a function is the set of input values the function can take

The domain of the function is all sets of real numbers

How to determine the domain

The functions are given as:

f(x) = 3x + 2

g(x) = x + 1

Start by calculating (f + g)(x) using:

(f + g)(x) = f(x)  + g(x)

So, we have:

$(f + g)(x) = 3x + 2 + x + 1$

This gives

$(f + g)(x) = 4x + 3$

There is no restriction as to the input values in the above function.

Hence, the domain of the function is all sets of real numbers

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