Answer:
Step-by-step explanation:
Given:
The function 'g(x)' is given as:
Now, the function 'f(x)' is given as:
So, the function 'f(x)' is a transformation of 'g(x)'.
In order to find f(x), we replace 'x' by in the 'g(x)' function equation. This gives,
Using the identity , we get:
Hence the function f(x) is given as:
The domain and range of a function are the possible <em>x and y values </em>of the function.
<em>The domain and the range of the function is: (a) </em><em> and </em>
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The functions are given as:
(g o f)(x) is calculated as:
So, we have:
Take LCM
Represent the denominator as follows, to calculate the domain
Add 4 to both sides
Take square roots of bot sides
Hence, the domain of the function is:
On the graph of (see attachment), the function does not have a value from <em>y = 1 to 2.</em>
Hence, the range is:
Read more about domain and range at:
