Determine the domain for this function: f(x)=sqrt(2x)+6

Passafaromx 2022-08-08 Answered
Determine the domain for this function:
f ( x ) = 2 x + 6
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (2)

Kelton Glover
Answered 2022-08-09 Author has 17 answers
Domain is all values that x can take on
for this function, if f ( x ) = 2 x + 6, then x is all real numbers
if f ( x ) = 2 x + 6, then x will be all real numbers >= zero because you square root a negative number becomes an imaginary number
Not exactly what you’re looking for?
Ask My Question
Yair Valentine
Answered 2022-08-10 Author has 6 answers
You can rewrite the function as:
y = 2 x + 6
The domain of this function, is all the values of x that make the function valid. One thing to note, is that you cannot take the square root of a negative number, because then you're dealing with imaginary numbers, so to get the domain, solve the following:
2 x 0 solve this for x, divide both sides by 2
x 0
So the domain is all real numbers, or all x values greater than or equal to zero.
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2021-06-11

Find the linear approximation of the function f(x)=1x at a=0 and use it to approximate the numbers 0.9 and 0.99.

asked 2021-09-10
A baseball team plays in a stadium that holds 55,000 spectators. With ticket prices at 10, the average attendance had been 27,000. When ticket prices were lowered to10,the average attend ance had been 27,000.When ticket prices were lowered to 8, the average attendance rose to 33,000. How should ticket prices be set to maximize revenue?
asked 2021-09-07

Determine whether each of these functions is a bijection from R to R.

a) f(x)=3x+4

b) f(x)=3x2+7

c) f(x)=x+1x+2
d)f(x)=x5+1

asked 2020-11-23

The point E(-7,-24) lies on the circle whose equation is x²+y²=625. If an angle is drawn in standard position and its terminal ray passes through E, what is the value of the sine of this angle?
(1) -7
(2) 724
(3) -24
(4) 2425

asked 2021-02-26
The population of a town increases according to the model P(t)=2500e0.0293t, where t is the time in years, with t=0 corresponding to 1990. Use the modek to estimate the population in (a) 2000 and (b) 2010.
asked 2022-07-25
How to determine the domain and range of the functions?
asked 2022-03-27

Consider the following.
A=-59-11
List the eigenvalues of A and bases of the corresponding eigenspaces. (Repeated eigenvalues should be entered repeatedly with the same eigenspaces.)
smaller λ-value λ1= ___
smaller λ-value λ2= ___
Find an invertible matrix P and a diagonal matrix D such that p1AP=D. (Enter each matrix in the form row 1row 2, where each row is a comma-separated list. If A is not diagonalizable, enter NO SOLUTION.)
(D,P)=(___)