Question

4. Simplify 6/√3÷2

A. 4/√3
B. 12-6√3
C. √3-2 ******
D. 3

5. What is the domain of the function of
y = 3√6x+2?
A. x > 0 (it has the line under the sign for all of them)
B. x < 7
C. x > -6
D. x > -7 *****

6. What are the domain and range of the function y = 2√3x+4-5?
A. x > (has line for all signs) -4/3 ; y >-5
B. x > 4/4 ; y > -5
C. x< -4/3 ; y < -5
D. x > -4/3 ; y >5*******

Answer 1

#1. 6/(√3÷2) * (√3-2)/(√3-2) = 6(√3-2)/(3-2^2) = -6(√3-2) = 12-6√3

you know, you could always check the result with your calculator ...

#2. you know that the domain of y = √x is x>=0
so, 3√(6x+2) has domain 6x+2 >= 0
That is, x >= -1/3
None of those choices makes any sense, unless it is really
y = 3√6x + 2
in which case you need 6x >= 0, that is x >= 0

#2. Assuming you mean y = 2√(3x+4)-5
then the domain is 3x+4 >= 0, or x >= -4/3
since y(-4/3) = -5, the range is y >= -5