Question

Q 1) Consider the following functions.

f(x) = 2/x,  g(x) = 3x + 12

Find (f ∘ g)(x).

Find the domain of (f ∘ g)(x). (Enter your answer using interval notation.)

Find (g ∘ f)(x).

Find the domain of (g ∘ f)(x).  (Enter your answer using interval notation.)

Find (f ∘ f)(x).

Find the domain of (f ∘ f)(x).  (Enter your answer using interval notation.)

Find (g ∘ g)(x).

Find the domain of (g ∘ g)(x). (Enter your answer using interval notation.)

Q 2) Find the exponential function

f(x) = a^x  whose graph is given.

{ Point on the graph (-1, 1/10) }

f(x)

=

Q 3 )Find the exponential function

f(x) = a^x  whose graph is given.

{ Point on the graph (2, 1/25) }

f(x)

=

Q 4)

The sine curve y = a sin(k(x − b)) has amplitude [ ] , period [ ] , and horizontal shift [ ] . The sine curve y = 3 sin (7(x − π/4) has amplitude [ ] , period [ ], and horizontal shift [ ].

Answer 1