Which function is undefined for x = 0?

Asked by wiki @ 14/11/2020 in Mathematics viewed by 378 People

Which function is undefined for x = 0? y=3√x-2 y=√x-2 y=3√x+2 y=√x=2

Answered by wiki @ 14/11/2020

For this case, we must indicate which of the given functions is not defined for $x = 0$

By definition, we know that:

$f (x) = \sqrt {x}$ has a domain from 0 to infinity.

Adding or removing numbers to the variable within the root implies a translation of the function vertically or horizontally. For it to be defined, the term within the root must be positive.

Thus, we observe that:

$y = \sqrt {x-2}$ is not defined, the term inside the root is negative when $x = 0$ .

While $y = \sqrt {x + 2}$ if it is defined for $x = 0.$

$f(x)=\sqrt[3]{x}$ , your domain is given by all real numbers.

Adding or removing numbers to the variable within the root implies a translation of the function vertically or horizontally. In the same way, its domain will be given by the real numbers, independently of the sign of the term inside the root.

So, we have:

$y = \sqrt [3] {x-2}$ with x = 0: $y = \sqrt [3] {- 2}$ is defined.

$y = \sqrt [3] {x + 2}$ with x = 0: $y = \sqrt [3] {2}$ in the same way is defined.

Answer:

$y = \sqrt {x-2}$

Option b

Which function has only one x-intercept at (−6, 0)?

Asked by maham237 @ 25/12/2020 in Mathematics viewed by 339 persons

f(x) = x(x − 6) f(x) = (x − 6)(x − 6) f(x) = (x 6)(x − 6) f(x) = (x 6)(x 6)

The function f(x) is shown on the graph. what is f(0)?

Asked by maham237 @ 18/12/2020 in Mathematics viewed by 377 persons

12 only 2 and 3 only –2, –1, 1, and 2 only –2, –1, 1, 2 and 12

What are the x-intercepts of the function f(x) = –2x2 – 3x + 20?

Asked by maham237 @ 26/12/2020 in Mathematics viewed by 315 persons

What are the x-intercepts of the function f(x) = –2x2 – 3x + 20? (–4, 0) and and (4, 0) (–5, 0) and (2, 0) (–2, 0) and (5, 0)

If a polynomial function f(x) has roots 0, 4, and , what must also be a root of f(x)?

Asked by wiki @ 14/11/2020 in Mathematics viewed by 379 persons

How to find if y is a function of x

Asked by admin @ 28/10/2021 in Mathematics viewed by 371 persons

Select all of the following graphs which represent y as a function of x

Which function has zeros at x 10 and x 2

Asked by admin @ 02/08/2021 in Math viewed by 341 persons

Which function has zeros at x = 10 and x = 2?

For which function is f(x) equal to f-1(x)?

Asked by maham237 @ 27/12/2020 in Mathematics viewed by 343 persons

For which function is f(x) equal to f-1(x)? a. f(x)=x+6/x-6 b. f(x)=x+2/x-2 c. f(x)=x+1/x-1 d. f(x)=x+5/x-5

The function f is defined by f(x)=x^2+3x-10

Asked by maham237 @ 25/12/2020 in Mathematics viewed by 341 persons

The function f is defined by f(x)=x^2+3x-10 If f(x+5)=x^2+kx+30, k= Find the smallest zero of f(x+5), x=

Which of the following is a zero for the function f(x) = (x − 15)(x + 1)(x − 10)?

Asked by maham237 @ 23/12/2020 in Mathematics viewed by 372 persons

Which of the following is a zero for the function f(x) = (x − 15)(x + 1)(x − 10)? X=-15 X=-10 X=1 X=15

For the function f(x)=(7-8x)^2

Asked by maham237 @ 18/12/2020 in Mathematics viewed by 372 persons

find f^-1. Determine whether f^-1 is a function.

The function y=-0.296x^2+2.7x

Asked by maham237 @ 02/12/2020 in Mathematics viewed by 449 persons

models the length x and height y that your sister's pet rabbit can jump, in centimeters. What is the maximum height that the rabbit can reach during its jump? Once …