# Algebra - Function Composition

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If f(x) = 5x + 3 and g(x) = (x-3)/5, find

1. f o g(x),

2. g o f(x), and

3. f o g(4).

4. What are the y-intercept and the x-intercept of the line y = 2 ?

5. What are the y-intercept and the x-intercept of the line x = 2 ?

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(1) To find fog(x), we replace x in f(x) with g(x) and simplify

fog(x) = f(g(x)) = f((x - 3)/5) = 5(x - 3)/5 + 3 = (5(x - 3) + 15)/5 = (5x - 15 + 15)/5 ...

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