Which of the following describe the function

g(x) = log2 (x - 2) – 3.

Choose ALL that apply.

The domain is the set of all real number greater than 2.

The x-intercept = ( 10,0) and there is no y-intercept

Avertical asymptote at x = 2.

There is no x-intercept and the y-intercept = (0,10 ).

The domain is the set of all real numbers less than 2

The graph of g(x) is symmetric to its inverse exponential function over the line y = 0

The graph of g(x) is symmetric to its inverse exponential function I’ve ether like y = x

A vertical asymptote at x = 10

Respuesta :

Answer:

The domain is the set of all real number greater than 2.

The x-intercept = ( 10,0) and there is no y-intercept

A vertical asymptote at x = 2.

The graph of g(x) is symmetric to its inverse exponential function over the line y = x

Step-by-step explanation:

The correct statements are:-

  • The domain is the set of all real numbers greater than 2.
  • The x-intercept = ( 10,0) and there is no y-intercept.
  • A vertical asymptote at x = 2.
  • The graph of g(x) is symmetric to its inverse exponential function over the line y = x

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

For the given function g(x) = log2 (x - 2) – 3 the graph is attached with the answer below. By following the graph the correct statements are:-

The domain is the set of all real numbers greater than 2.The x-intercept = ( 10,0) and there is no y-intercept.A vertical asymptote at x = 2.The graph of g(x) is symmetric to its inverse exponential function over the line y = x

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