What is the domain? (Pre-calculus!)?

[Andri]

1. Suppose f(x) = x + 5 / x - 8 and g (x) = sqroot(x)

a. What is the domain of f?

b. Find g(f(x)). State it's domain.

c. Find f(g(x)). State it's domain.

d. Find the domain of h(x) = sqroot(x+5) / sqroot(x-8)

Also, is h the same function as the function you found in part b? Explain.

Thanks sooo o much

[Tasm]

(x, y) -> (a, f(a)) -> (domain, range) -> (input,output) -> (arguement, value)

EXAMPLE

Set:
A = {a1, a2, a3, a4}
B = {b1, b2, b3}

f = {(a1,b1), (a2,b2,), (a3,b1)}

Domain f: {a1, a2, a3}
Range f: {b1,b2}

Domain is your input into the function and the Range is your output.