Answer:
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Explanation:
Determining the <em>domain</em> of the function P(x) = 2x + 8 is very trivial and does not require the uses of separate intervals.
The domain of a function is the set of input values (x) for which the function is defined. Thus, the domain of P(x) = 2x + 8 is all the real number, which in interval notaion is:
The symbol ∞ is used to indicate that there is not limit for the value of x: it can goe from any negative number to any positive number).
For didactic purposes let's determine the domain of the function
P(x) = 2/(x+8).
In this case, the function is not defined when the denominator equals 0.
Then, the domain excludes the values for which x + 8 = 0.
Then, the solution is all the real numbers different to - 8.
In <em>interval notation</em> it is:
In form of <em>inequaliy</em> that is:
That means, all the real numbers less than - 8 and all the real numbers greater than 8.
An inverse of a function can be found by flipping the x and y axis around in the function
So instead of y = x + 3, it would be x = y + 3.
Now you need to solve for y and as a result you should get y = x - 3 [or h(x) = x - 3 when using function notation]
Answer:
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