112,586 views
12 votes
12 votes
Describe the domain of the function f(x;y)= ln(4-x-y)

User Riaj Ferdous
by
3.0k points

2 Answers

16 votes
16 votes

The domain of the function

f

(

x

,

y

)

=

ln

(

4

x

y

)

is the region of the x-y plane such that the argument of logarithm function is positive,...

See full answer below.

Ask a question

Our experts can answer your tough homework and study questions.

Search Answers

What question do you need help with?

Learn more about this topic:

What Is Domain and Range in a Function?

from

Chapter 7 / Lesson 3

71K

What are the domain and range of a function? What are the domain and range of the graph of a function? In this lesson, learn the definition of domain and range as it applies to functions as well as how it applies to graphs of functions. Moreover, there will be several examples presented of domain and range and how to find them.

Related to this Question

Find the domain algebraically without a graph of f(x) = \sqrt{4 - x^2}.

The graph of f(x) = x2/x2 + 2. Determine the domain of the function.

Find the domain and graph the function F(t) = 8t / |t|.

Find domain of f(x) = - 5x + 2.

Find the domain of f(x): f(x) = \sqrt [x] {16 - x^2}

Find the domain of f/g when f(x) = 2/x and g(x) = 1/(x^2 - 1) and when f(x) = 3x + 1 and g(x) = x^2 - 16.

Find (f o g)(x) and (g o f)(x) and the domain of each, where f(x) = x + 1 , g(x) = 4x^2 - 3x - 1

Find the domain of { f(x) = \frac{1}{(x - x^2)} }

Give and graph the domain of the function f(x,y)= \sqrt {y-x^3}.

Find the domain of the function and GRAPH it. h(x,y) = ln (x + y - 5)

Find the domain of the function, given the graph below.

Find the domain of the function whose graph is given below.

Use the following graph. Find the domain of the function.

If f(x) = \frac{1 - x}{2 + x}, find {f}'(x) and its domain.

Find the domain of the function f(x,y)=\frac{12}{(y^2-x^2)}.

Find the domain of the function f(x,y) = x-y/sqrt(x+y).

Find the domain for the function f(x) = (2x - 2) / (x^2 - 5 x - 14).

Find the domain of the function f(x) = x^8.

Find the domain of the function f(x, y) = (2cos(x + y))/(sqrt(9 - x^2 - y^2)).

Find the domain of the function K(x) = f(x) \cdot g(x) \cdot h(x) , for f(x) = \ln x, \ g(x) = x 169, \text{ and } h(x) = 9x^2 .

Find the domain of the given function f(x, y) = 2 / ln (x + y - 3).

Find the domain of the following function f(x) = \frac {7}{(x+2)(x-3)}

Find the domain of the function f(x) = 30 - 7x -2x².

Find the domain of the function f(x) = \frac{\sqrt{x+4{x-3}.

Find the domain of the function f(x) = 1/(x - 2) sqrt((x - 1)/(x)).

Find the domain of the function f(x) = \frac{1}{1-3e^x}

Find the domain of the function f(x) = \dfrac{x^4}{x^2 + x - 6}.

Find the domain of the function f(x) = 3/[x/2] -5^{(cos^-1x^2) + (2x+1) / (x+1)} .

Find the domain of the function f(x) = 2x - 3.

Find the domain of the function f(x) = 2x x2-4

Find the domain of the given function f(x,y)=4x^2-3y^2.

1) Find the domain and graph the function: f(x) = \sqrt {x - 1} 2) Graph the function g(x) = (x + 3)^3

Determine and graph the domain of the function. f(x, y) = \sqrt{144-9x^2 - 16y^2}

Following is a graph of a function f(x). Determine the domain where the function is differentiable.

Find the domain of the function y = \sqrt{25 x^2} . Then graph the function.

Given f(x) = 3x + 1 and g(x) = 5x - 1. a) Find \frac{f}{g} and its domain.

Given f(x) = \frac{x+2}{x} , find f^{ 1} (x) and its domain.

Given f(x) = x^2 + 1 and g(x) = 2/x + 4 , find: (f times g) (x) = _____ Domain: _____

Given f(x) = \ln (1 - | 1-2x|) , find the domain of f

If f'(x) = \frac{2xln(-4(x^2-2.75)) + (2x^3)}{(x^2-2.75)}, find the domain.

Given f(x) = x^2 + 1 and g(x) = 2/x + 4, find: (f + g) (x) = _____ Domain: _____

1. Find a function f(x, y) and domain D are which f _{x,y} \\eq f _{yx}.

If f(x) = sqrt(6 - x) and g(x) = x + 7, find the domain of (g/f)(x).

Given f(x) = \ln(13x+2) , find f'(x) and the domain of f

Determine the domain of the function f(x,y,z) = \frac{\sqrt{y{x^2 - y^2 + z^2}.

Determine the domain of the function f(x) = 9x/x^2-4.

Determine the domain of the function f(x) = \frac {4}{10x^2 - 6}.

Determine the domain for each function f(x) = 2x + 3, g(x) = x - 1.

Find f_x and f_y and graph f, f_x, and f_y with domains. f(x, y) = x^2y^3

User Aksonov
by
2.5k points
5 votes
5 votes

Domain of the given function is x∈(-2,∞)

Explanation:

The given function is y=\ln(x+2)y=ln(x+2)

Domain is the set of x values for which the function is defined.

And we know that logarithm function is defined only for values greater than zero.

Therefore, for domain we have

x + 2 >0

x > -2

Hence, the domain of the