What are the domain and range of the function? f(x) = -4 (sqrt)x

Step-by-step explanation:

f(x) = - 4√x

1)  the domain : x ≥ 0   : D= [0;+∞[

2) the rang of : f  is the domain of the inverse

y = -4 √x   calculate x     ( x ≥ 0)

y  ≥ 0  : y² = ( -4 √x )²

           y²  = 16 x

x = y²/16

the inverse is : g(x) = x²/ 16 x ≥ 0   the range is : D= [0;+∞[  ( same domain)

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

60 for the first and 130 for the second

step-by-step explanation: