Question

2. A function g(x) is defined by the diagram shown below.

Answer 1

Answer:

Step-by-step explanation:

diagram attached represents a function g(x).

Circle (1) (circle on the left) represents the set of domain (input values) and circle (2) represents the range (output values).

a). For input value x = 7, out put value of the function is y = 9.

   Therefore, g(7) = 9 will be the answer.

b). Range of the function g(x) is the set of output values.

    Range: {12, 9, 9, 17}

c). Inverse of the function g(x) will have,

   Domain: {12, 9, 9, 17}

   Range: {4, 7, 10, 15}

   For input value of x = 9, there are two output values y = 7, 10.

   Since, "a function can't have two output values for the same input value".

   Therefore, inverse of the function g(x) will not represent a function.