Question

F(x) = x +3, g(x) = x - 3. Find(f-g)(x)

Answer 1

Steph, let's recall that composite function is a function that depends on another function. A composite function is created when one function is substituted into another function.

Given f(x) = x +3, g(x) = x - 3

• f (g(x)) = f (x - 3)

,

• (x - 3) + 3

,

• x - 3 + 3

,

• x

• g (f(x)) = g (x + 3)

,

• (x + 3) - 3

,

• x + 3 - 3

,

• x

For the given functions, f (g(x)) = g (f(x))

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