This equation shows how the cost of renting a ballroom depends on how many hours it is rented for. c = 23.7h The variable h repr
1 answer:
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Answer:
Step-by-step explanation:
We see that the two terms share an x, so we can pull that out:
Now notice that we have a difference of squares (). Given a difference of squares,
, this can always be factored into
. We can use this in this case:
.
So, our final factorized form is: .
Hope this helps!
We can use the vertex form of a quadratic, 
, to find that 
. Plugging 
ordered pairs into g(x), we see that a = 1. For example, for 
, 
. Solving for a gives 1.
Answer:
Step-by-step explanation:
When given the following functions,
One is asked to find the following,
1. Question 1
When finding the inverse of a function that is composed of defined points, one substitutes the input given into the function, then finds the output. After doing so, one must substitute the output into the function, and find its output. Thus, finding the inverse of the given input;
2. Question 2
Finding the inverse of a continuous function is essentially finding the opposite of the function. An easy trick to do so is to treat the evaluator (h(x)) like another variable. Solve the equation for (x) in terms of (h(x)). Then rewrite the equation in inverse function notation,
3. Question 3
This question essentially asks one to find the composition of the function. In essence, substitute function (h) into function () and simplify. Then substitute (-3) into the result.
Now substitute (-3) in place of (x),