tion 3.1
K
For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain
$f(x) = \frac{2x+7}{7x-2}$, $g(x) = \frac{4x}{7x-2}$
Question 6, 3.1.79
Part 5 of 12
(a) Find $(f+g)(x)$
$(f+g)(x) = \frac{6x+7}{7x-2}$ (Simplify your answer)
What is the domain of $f+g$? Select the correct choice below and, if necessary, fill in the answer box to complete your choice
A. The domain is {$x|x \neq \frac{2}{7}$}
(Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed)
B. The domain is {$x|x$ is any real number}
(b) Find $(f-g)(x)$
$(f-g)(x) = \frac{7-2x}{7x-2}$ (Simplify your answer)
What is the domain of $f-g$? Select the correct choice below and, if necessary, fill in the answer box to complete your choice
A. The domain is {$x|x \neq \frac{2}{7}$}
(Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed)
B. The domain is {$x|x$ is any real number}
(c) Find $(f\cdot g)(x)$
$(f\cdot g)(x)$ (Simplify your answer)
HW
