Question

NEED HELP FAST ALGEBRA2

Answer 1

A. (0, 4), (4, ∞)

B. (-∞, -4), (4, ∞)

C. (-∞, 0), (0, ∞)

Explanation:

1

p(x) = -------- ; m(x) = x² - 16

√x

a.

p(x)

-------

m(x)

1 1

-------- --------------

√x √x

------------------------------ = ---------------------

x² - 16 (x + 4)(x - 4)

Domain: (0, 4), (4, ∞)

----------------------------------------------------------------------------------------------------------

B.

P(m(x))

1 1 1

------- = ----------------- = ----------------------

√x √(x² - 16) √(x - 4)(x + 4)

Domain: (-∞, -4), (4, ∞)

----------------------------------------------------------------------------------------------------------------------------

C.

M(p(x))

x² - 16

1 1

( ------- )² - 16 = ------- - 16

√x x

Domain: (-∞, 0), (0, ∞)

----------------------------------------------------------------------------------------------------------------------------

I hope this helps!