Question #21595

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 - g

Expert's answer

Determine value of x where both function (f, g) are defined:

x = 1 -> f(1) = 2, g(1) = -2

x = 3 -> f(3) = 4, g(3) = -3 &

Find function f - g when x = 1, 3:

f - g(1) = f(1) - g(1) = 2 - (-2) = 4

f - g(3) = f(3) - g(3) = 4 - (-3) = 7

So f*g*h& = (1, 4), (3, 7)

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

domain: {1, 3}

x = 1 -> f(1) = 2, g(1) = -2

x = 3 -> f(3) = 4, g(3) = -3 &

Find function f - g when x = 1, 3:

f - g(1) = f(1) - g(1) = 2 - (-2) = 4

f - g(3) = f(3) - g(3) = 4 - (-3) = 7

So f*g*h& = (1, 4), (3, 7)

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

domain: {1, 3}

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