Question

Find the domain of the function.

g(x, y) = 8/x-y

a.The domain is the half plane below the line *y* =
*x*.

b. The domain is the set of all points in the *xy*-plane
except those on line *y* = −*x*. a.The domain is the
half plane below the line *y* = *x*.

c. The domain is the set of all points in the *xy*-plane
except those on line *y* = *x*.

d. The domain is the set of all points in the
*xy*-plane

e. The domain is the half plane above the line *y* =
−*x*.

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

Answer #1

Suppose the function g(x) has a domain of all real
numbers except x = −8. The second derivative of
g(x) is shown below.
g ''(x) =
(x−1)(x + 5)
(x +
8)7
(a) Give the intervals where g(x) is concave up. (Enter your
answer using interval notation. If an answer does not exist, enter
DNE.)
(b) Give the intervals where g(x) is concave down. (Enter your
answer using interval notation. If an answer does not exist, enter
DNE.)
(c) Find...

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...

The domain of the function g(x) is -1<x<6 and
the range is -5<y<10.
Find the domain and range of the following given functions.
a). the domain of y=g(x-4) is?
b.) the range of y=g(x)+2 is?

1. Consider the function.
f(x) = 6x − 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...

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...

Consider the function f(x, y) = xy and the domain D = {(x, y) |
x^2 + y^2 ≤ 8}
Find all critical points & Use Lagrange multipliers to find
the absolute extrema of f on the boundary of D,which is the circle
x^2 +y^2 =8.

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.)

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...

Find the derivative of the function using the definition of
derivative.
G(t) =
1- 3t / 5+t
G'(t) =
State the domain of the function. (Enter your answer using interval
notation.)
State the domain of its derivative. (Enter your answer using
interval notation.)

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.

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