Question

1. Consider the function.

*f*(*x*) = 6*x* − 9

(a) Find the inverse function of *f*.

(b) Graph *f* and *f*^{ −1} on the same
set of coordinate axes.

(c) Describe the relationship between the graphs. The graphs of
*f* and *f* ^{−1} are reflections of each
other across the line *y* =

(d) State the domain and range of *f* and *f*
^{−1}. (Enter your answers using interval notation.)

2.

Consider the function.

f(x) = x+3/x

(a) Find the inverse function of *f*

(c) Describe the relationship between the graphs. The graphs of
*f* and f ^{−1} are reflections of each other in the
line

(d) State the domain and range of *f* and
f ^{−1}. (Enter your answers using interval notation.)

Answer #1

4. Find the inverse function of f. State the domain and range
(in interval notation) of the
inverse function f exponent of −1 (x).
f(x) = 4 + 5x all over 3x − 6

Find the inverse function of f(x)= 1+2cos(x) and then find the
domain and the range of the function of both f and f^-1??
Find the inverse function of f(x)=sqrt(3-e^2x) and then find the
domain and the range of the function of both f and f^-1??

Find each of the following functions. f(x) = 4 − 4x, g(x) =
cos(x)
(a) f ∘ g and State the domain of the function. (Enter your
answer using interval notation.)
(b) g ∘ f and State the domain of the function. (Enter your
answer using interval notation.)
(c) f ∘ f and State the domain of the function. (Enter your
answer using interval notation.)
(d) g ∘ g and State the domain of the function. (Enter your
answer using...

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...

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...

1- If
?(?)=3?5?+29?5?+1
find the inverse function.
2- State the domain of the function ?(?)=8?−94?
3- State the domain of the function ?(?)=5?−83?+5 in interval
notation
4- State the domain of the function ?(?)=7?−8?−3
in interval notation.
5- State the domain of the function ?(?)=9?+1?2−3?−40
in interval notation
6- State the domain of the function ?(?)=8?+13?2−11?+8
in interval notation.
7- State the domain of the function ?(?)=8?−39?2+12?+13
in interval notation.

question #1: Consider the following function.
f(x) =
16 − x2,
x ≤ 0
−7x,
x > 0
(a) Find the critical numbers of f. (Enter your answers
as a comma-separated list.)
x =
(b) Find the open intervals on which the function is increasing or
decreasing. (Enter your answers using interval notation. If an
answer does not exist, enter DNE.)
increasing
decreasing
question#2:
Consider the following function.
f(x) =
2x + 1,
x ≤ −1
x2 − 2,
x...

1) Consider the function.
f(x) = x5 − 5
(a) Find the inverse function of f.
f −1(x) =
2)
Consider the function
f(x) = (1 + x)3/x.
Estimate the limit
lim x → 0 (1 + x)3/x
by evaluating f at x-values near 0. (Round
your answer to five significant figures.)
=

Find the derivative of the function using the definition of
derivative.
g(x) =
sqrt 9 −
x
g' (x) =
State the domain of the function. (using interval notation.)
State the domain of its derivative. (using interval notation.)

Consider the following function. (If an answer does not exist,
enter DNE.)
f(x) = 1 +
5
x
−
3
x2
(c) Find the local maximum and minimum values.
(d) Find the interval where the function is concave up. (Enter your
answer using interval notation.)
(e) Find the interval where the function is concave down. (Enter
your answer using interval notation.)
(f) Find the inflection point.
(x, y) =

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