beccca16
contestada

Which description compares the domains of function A and Function B correctly?
Function A f(x) = log x
Function B
A - the domain of function A is the set of real numbers greater than or equal to 1
The domain of function B is the set of real numbers greater than 1
B- the domain of function A is the set of real numbers is greater than 0
The domain of the function B is the set of real numbers greater than or equal to 1
C- the domain of both functions is the set of real numbers
D- the domain of both functions is the set of real numbers greater than or equal to 1

Which description compares the domains of function A and Function B correctly Function A fx log x Function B A the domain of function A is the set of real numbe class=

Respuesta :

carlosego

Answer:

B- the domain of function A is the set of real numbers is greater than 0  

The domain of the function B is the set of real numbers greater than or equal to 1

Step-by-step explanation:

The function A is [tex]f(x) = log(x)[/tex]

By definition we know that the function [tex]f(x) = log(x)[/tex] is not defined for values of [tex]x\leq0[/tex]

Therefore the domain of [tex]f(x) = log(x)[/tex] is:

All real numbers greater than 0.

[tex]x> 0[/tex]

Function B shown in the graph is a curve that goes in x from x = 1 to infinity.

Therefore it can be seen that the domain of this function is:

all real numbers greater than or equal to 1.

[tex]x\geq 1[/tex].

Therefore the correct option is B.

Answer:

Choice B is correct; the domain of function A is the set of real numbers greater than 0  

The domain of the function B is the set of real numbers greater than or equal to 1

Step-by-step explanation:

The domain of a function refers to the set of x-values for which the function is real and defined. The graph of function B reveals that the function is defined when x is equal 1 and beyond; that is its domain is the set of real numbers greater than or equal to 1 written in interval notation as;

[tex][1, infinity)[/tex]

On the other hand, the natural logarithm function is defined everywhere on the real line except when x =0; this will imply that its domain  is the set of real numbers greater than 0 . In fact, the y-axis or the line x =0 is a vertical asymptote of the natural log function; meaning that its graph approaches this line indefinitely but neither touches nor crosses it.

Ver imagen Hulkk

Otras preguntas