What is the range of the function y=square root x+5

Range of the given function is [ 5 , ∞ )

Step-by-step explanation:

Given function is

We need to find Range of the given function.

The Range of function is the set of all possible values of the dependent variable ( here, y )  , after substituting the value of domain.

We know that square root can not have negative value. So, Domain of the given function is all non negative real number.

That is Domain = { x : x ∈ R and x ≥ 0 } = [ 0 , ∞ )

Now for range,

put x = 0 in given function,

⇒ Minimum value of range is 5

put x = ∞ in given function,

⇒ Maximum value of range is ∞

Thus, Range  = { y : y ∈ R and y ≥ 5 } = [ 5 , ∞ )

Therefore, Range of the given function is [ 5 , ∞ )

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15