Answer:
The domain of the graph is all real number ⇒ the last answer
Step-by-step explanation:
* Remember that our original exponential formula was y = ab^x
- The b value is the growth factor
* Lets revise how to find the domain of this function
- The domain is all values of x that make the function defined
* Lets revise the composite function
- A composite function is a function that depends on another function.
- A composite function is created when one function is substituted
into another function.
- For example, f(g(x)) is the composite function that is formed when
g(x) is substituted for x in f(x).
∵ f(x) = 2^x
∵ g(x) = x - 2
∴ (f · g)(x) = f(x - 2)
∵ f(x) = 2^x
∴ (f · g)(x) = f(x - 2) = 2^(x - 2)
- For this function there is no values of x make the function undefined
∴ The Domain is all real numbers
- Look to the graph, the values of x go from -∞ to ∞
* The domain of the graph is all real number
