Hello!
This question is an example of composition of functions. It is using range values of some given function as domain values of some other given function to find new range values. Remember that the domain of the composite function will be the same as the domain of the first function.
Given f(g(x)), for f = , substitute x with g(x) =
.
Therefore, .
The answer is C:
Starting with the given formula for the area, A = 1/2hb, the first step is to isolate h by using the multiplicative inverse of b, which is on both sides of the equation:
The result will be:
The last step is to use the multiplicative inverse of , which is 2 or
to further isolate the variable <em>h </em>:
The formula for h will be:
which is the option C in your question.
Answer:
range = (− 23 , ∞ )
domain = ( − ∞ , ∞ )
y-intercept = -5
