Let f(x)=2^x and g(x)=x-2. The graph of (f o g)(c) is shown below. What is the domain of (f o g)(x)?
Accepted Solution
A:
The domain of the outer function is all real numbers, because f(x) is an exponential function.The domain and range of g(x) are all real numbers.So, the domain of the composition is again all real numbers, because there is no way that an output from g(x) will not be a valid input for f(x).