Question 9, 2.1.75
Part 9 of 12
HW Score: 65.
Points: 0 o
For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain.
$f(x) = \sqrt{2x}$; $g(x) = 7x - 6$
A. The domain is $\{x | x \ge 0\}$.
(Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed
B. The domain is $\{x | x \text{ is any real number}\}$.
(b) Find $(f - g)(x)$.
$(f - g)(x) = \sqrt{2x - 7x + 6}$
(Simplify your answer. Type an exact answer, using radicals as needed.)
What is the domain of $f - g$? Select the correct choice below and, if necessary, fill in the answer box to complete yo
A. The domain is $\{x | x \ge 0\}$.
(Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed
B. The domain is $\{x | x \text{ is any real number}\}$.
(c) Find $(f \cdot g)(x)$.
$(f \cdot g)(x) = \sqrt{2x}(7x - 6)$
(Simplify your answer. Type an exact answer, using radicals as needed.)
What is the domain of $f \cdot g$? Select the correct choice below and, if necessary, fill in the answer box to complete you
A. The domain is $\{x | x \ge 0\}$.
(Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed
B. The domain is $\{x | x \text{ is any real number}\}$.
(d) Find $(\frac{f}{g})(x)$.
