Question

1a.

Find the domain and range of the function. (Enter your answer using interval notation.)

f(x) = −|x + 8|  

domain=

range=

1b.  

Consider the following function. Find the composite functions

f ∘ g

and

g ∘ f.

Find the domain of each composite function. (Enter your domains using interval notation.)

f(x) =

x − 3

g(x) = x²

(f ∘ g)(x)=

domain =

(g ∘ f)(x) =

domain

are the two functions equal?

y

n

1c.

Convert the radian measure to degree measure.

π

3

1d.  

Evaluate the sine, cosine, and tangent of the angle.

7π

3

sin (7pie/3)

cos(7pie/3)

tan(7pie/3)  

1e.

Solve the equation for θ, where

0 ≤ θ ≤ 2π.

(Enter your answers as a comma-separated list.)

4 cos²(θ) = 3  

θ =

Answer 1