EDGE Math 8

Determine whether each equation is true or false. You may use different functions to test the equation. Then choose the correct answer.

1.	$(f + g) (x) = (g + f) (x)$

True

False

Answer: True; addition of functions is commutative

2.	$(f - g) (x) = (g - f) (x)$

True

False

Answer: False; subtraction of functions is not commutative

3.	$(f \cdot g) (x) = (g \cdot f) (x)$

True

False

Answer: True; multiplication of functions is commutative

4.	$(\frac{f}{g}) (x) = (\frac{g}{f}) (x)$

True

False

Answer: False; division of functions is not commutative

5.	$(f \circ g) (x) = (g \circ f) (x)$

True

False

Answer: False; composition of functions is not commutative

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