# Answer to Question #21597 in Trigonometry for Kristen Woods

Question #21597

If f = (1, 2), (2, 3), (3, 4), (4, 5),

g = (1, -2), (3, -3), (5, -5), and

h = (1, 0), (2, 1), (3, 2),

find the following and state the domain:

f / h

g = (1, -2), (3, -3), (5, -5), and

h = (1, 0), (2, 1), (3, 2),

find the following and state the domain:

f / h

Expert's answer

Determine value of x where both function (f, h) have value:

x = 1 -> f(1) = 2 and h(1) = 0

x = 2 -> f(2) = 3 and h(2) = 1

x = 3 -> f(3) = 4 and h(3) = 2

Find function f/h when x = 1, 2, 3:

f/h(1) = f(1)/h(1) = 2/0 & undefined

f/h(2) = f(2)/h(2) = 3/1 = 3

f/h(3) = f(3)/h(3) = 4/2 = 2

So f/h& = (2, 3), (3, 2)

domain of a function is the set of "input" or argument values (x) for which the function is defined, so

domain: {2, 3} &

x = 1 -> f(1) = 2 and h(1) = 0

x = 2 -> f(2) = 3 and h(2) = 1

x = 3 -> f(3) = 4 and h(3) = 2

Find function f/h when x = 1, 2, 3:

f/h(1) = f(1)/h(1) = 2/0 & undefined

f/h(2) = f(2)/h(2) = 3/1 = 3

f/h(3) = f(3)/h(3) = 4/2 = 2

So f/h& = (2, 3), (3, 2)

domain of a function is the set of "input" or argument values (x) for which the function is defined, so

domain: {2, 3} &

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