Question

~PLEASE HELP OFFERING 15 POINTS~

Which function’s domain consists of all real numbers greater than 3?

A) f(x) = 3x

B) f(x) = the square root of x

C) f(x) = 3x + 4

D) f(x) = 1 over the square root of x - 3

Answer 1

Correct answer is D).
A) and C) are polynomials, so x∈R, in B) we have √x, and in this case x ≥ 0.

Answer 2

`f(x)=(1)/(x-3)`

Explanation:

find function that consist of domain = all real numbers greater than 3

A)
`f(x) = 3x`

f(x) is a linear function, for all linear function the domain is set of all real numbers.

B)
`f(x)= √(x)`

For square root function , the domain is set of all real numbers greater than 0

C)
`f(x) = 3x + 4`

f(x) is a linear function, for all linear function the domain is set of all real numbers.

D)
`f(x)=(1)/(x-3)`

for square root function we set x-3>0 and solve for x

x > 3, so domain is all real numbers greater than 3