algebra 2 mixture problems

algebra 2 mixture problems

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)
B)
C)
D)

What are the complex zeros of y = x2 + 9?

A)
B)
C)
D)

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

A)
B)
C)
D)

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

A)
B)
C)
D)

Multiply: (3x + 2)(3x – 2)

A)
B)
C)
D)

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)
B)
C)
D)

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)
B)
C)
D)

x 1 2 3 4 5 6
f(x) 2 1 0 -1 -2 -3

Based on the table for f(x), what is f-1(-1)?

A)
B)
C)
D)

n January, you deposit $150 into your checking account. Every month after that, you deposit 10% more than you did the month before. How much do you have in your account after your deposit in August?

A)
B)
C)
D)

Find the inverse of f(x) =

x – 1
3

.

A)
B)
C)
D)

Which statement is correct about the function y = 3x2 + 19x – 14?

A)
B)
C)
D)

A rare coin’s value, v, in dollars, can be modeled by the function v = 500(1.3)t, where t is the number of years since the coin was purchased. Rewriting the function in which of these ways would be helpful in determining the rate at which the coin is gaining value, per month?

A)
B)
C)
D)

A right triangle has an angle with a sine of 0.6. What is the cosine of the angle?

A)
B)
C)
D)

What is the value of a, if a2 – 64 = 0 and a > 0?

A)
B)
C)
D)

Simplify.

75
3

A)
B)
C)
D)

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