Let gbe a function such that g(x) = -2r + 5 and is defined on the domain (-1,3) State the range of this function in interval notation.

The range interval is: (7, -1)

Step-by-step explanation:

Given the function

g(x) = -2r+5

Let us put the domain values in the interval (-1, 3)

Putting x = -1

g(x)=-2r+5

      = -2(-1)+5

      = 2+5

      = 7

Putting x = 0

g(x)=-2r+5

      = -2(0)+5

      =0+5

      = 5

Putting x = 1

g(x)=-2r+5

      = -2(1)+5

      =-2+5

      = 3

Putting x = 2

g(x)=-2r+5

      = -2(2)+5

      =-4+5

      = 1

Putting x = 3

g(x)=-2r+5

      = -2(3)+5

      =-6+5

      = -1

Thus the range interval is: (7, -1)