### Question Description

1) f(2x – 10) = x + 1

f(-10) = 1

f(-12) = 0

f(2x – 12) = x. If f(x) and g(x) are inverse functions, use the information shown above to find g(x).

A) g(x) = -12

B) g(x) = -10

C) g(x) = 2x – 10

D) g(x) = 2x – 12

2) Best Burgers wants to know what kind of burger they should add to their menu. Whom should they ask?

A) | everyone who orders a hot dog | ||

B) | the first 5 lunch customers on Tuesday | ||

C) | everyone who comes through the drive-thru | ||

D) | 100 customers from lunch and dinner for a week |

3) If g(x) = x3 – 5 and h(x) = 2x – 2, then h(g(-2))= ?

A) -221

B) -28

C) -23

D) 4

4) Euclid (circa 330 BC) would have been shocked to learn that it is possible to find the sine of a 480° angle, as right triangle trigonometry gives no values for angles larger than 90°.In fact, though, using the unit circle, it is possible to find sin480° by using the

opposite/hypotenuse |

ratio of a ________ angle.

A) 20°

B) 30°

C) 45°

D) 60°

5) if the arc length of a sector in the unit circle is 4.2, what is the measure of the angle of the sector?

A) | 2.1 radians | ||

B) | 4.2 radians | ||

C) | 8.4 radians | ||

D) | 12.6 radians |

1) f(2x – 10) = x + 1 f(-10) = 1 f(-12) = 0 f(2x – 12) = x. If f(x) and g(x) are inverse functions, use the information shown above to find g(x). A) g(x) = -12 B) g(x) = -10 C) g(x) = 2x – 10 D) g(x) = 2x – 12 2) Best Burgers wants to know what kind of burger they should add to their menu. Whom should they ask? A) everyone who orders a hot dog B) the first 5 lunch customers on Tuesday C) everyone who comes through the drive-thru D) 100 customers from lunch and dinner for a week 3) If g(x) = x3 – 5 and h(x) = 2x – 2, then h(g(-2))= ? A) -221 B) -28 C) -23 D) 4 4) Euclid (circa 330 BC) would have been shocked to learn that it is possible to find the sine of a 480° angle, as right triangle trigonometry gives no values for angles larger than 90°.In fact, though, using the unit circle, it is possible to find sin480° by using the opposite/hypotenuse ratio of a ________ angle. A) 20° B) 30° C) 45° D) 60° 5) if the arc length of a sector in the unit circle is 4.2, what is the measure of the angle of the sector? A) 2.1 radians B) 4.2 radians C) 8.4 radians D) 12.6 radians