EDGE Math 8

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Choose the correct answer.

1.	If $f (x) = x - 4,$ what is $f \circ f (x) ?$

2 x - 8

x - 8

x^{2} - 8 x + 16

None of the choices

Answer: $x - 8$

2.	If $f (x) = x - 4$ and $g (x) = x^{2} - 4,$ what is $[(f \circ f) \circ g] (x) ?$

x^{2} - 12

x^{2} - 16 x + 60

x^{2} - 8

none of the choices

Answer: $x^{2} - 12$

3.	If $f (x) = \sqrt{2 x - 1}$ and $g (x) = 2 x^{2} + 2,$ what is $((g \circ f) \circ g) (x) ?$

32 x^{2} + 2

8 x^{2} + 2

8 x^{2} + 8

None of the choices

Answer: $8 x^{2} + 8$

4.	If $f (x) = \sqrt{x - 2},$ what should be $g (x)$ so that $(f \circ g) (x) = \sqrt{x} ?$

\sqrt{- 2}

\sqrt{x + 2}

x + 2

None of the choices

Answer: $x + 2$

5.	If $f (x) = \sqrt[3]{x}$ and $(f \circ g) (x) = x,$ what is $g (x) ?$

x

x^{2}

x^{3}

None of the choices

Answer: $x^{3}$

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