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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

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

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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 .