What is the domain of the function f(x) = sqrt1/3x+2

x ≥ -6

Step-by-step explanation:

Please use parentheses around the argument (input) of the sqrt function:

Better:  sqrt( 1/3x + 2)

Much better:  sqrt ( (1/3)x + 2)

The input to the sqrt function must be 0 or greater.  Thus, we must solve the equation (1/3)x + 2 ≥ 0.  Mult. all 3 terms by 3, we get x + 6 ≥ 0, or x ≥ -6.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

the answer is 31.27mph