Question
Let f(x)=7x+3 and g(x)=2x-7 Find (f+g)(x),(f-g)(x),(fg)(x) and ((f)/(g))(x) Give the domain of each. (f+g)(x)=9x-4 (Simplify your answer.) (f-g)(x)= square (Simplify your answer.)
Solution
4.2
(190 Votos)
Alana
Mestre · Tutor por 5 anos
Resposta
To find
, we need to add the functions
and
together.
Substituting the given functions, we have:
Combining like terms, we get:
Therefore,
.Next, let's find
.
Substituting the given functions, we have:
Combining like terms, we get:
Therefore,
.Now, let's find
.
Substituting the given functions, we have:
Expanding the expression, we get:
Combining like terms, we get:
Therefore,
.Finally, let's find
.
Substituting the given functions, we have:
Therefore,
.The domain of each function is the set of all real numbers except for any values that make the denominator zero. In this case, the denominator is
, so the domain is all real numbers except
.In summary:
The domain of each function is all real numbers except
.