Let f(x)=4x^2-3x and g(x)=x^2-x+3 Find (f+g)(x),(f-g)(x),(fg)(x) and ((f)/(g))(x) Give the domain of each. (f+g)(x)= square (Simplify your answer.)

To find , we need to add the functions and together. Substituting the given functions, we have: Combining like terms, we get: Therefore, .The domain of is all real numbers, since there are no restrictions on the values of for which the expression is defined. (Simplify your answer.)To find , we need to subtract the function from the function . Substituting the given functions, we have: Combining like terms, we get: Therefore, .The domain of is all real numbers, since there are no restrictions on the values of for which the expression is defined. (Simplify your answer.)To find , we need to multiply the functions and together. Substituting the given functions, we have: Expanding the expression, we get: Combining like terms, we get: Therefore, .The domain of is all real numbers, since there are no restrictions on the values of for which the expression is defined. (Simplify your answer.)To find , we need to divide the function by the function . Substituting the given functions, we have: Therefore, .The domain of is all real numbers except for the values of that make the denominator equal to zero. In this case, the denominator is , which is never equal to zero for any real number . Therefore, the domain of is all real numbers.