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