Answer:
The value would be thousandths.
Step-by-step explanation:
1)
The domain
is every value of x for which f(x) is a real number.
f(x) = 13 / (10-x)
The only x value that would not produce a real number for f(x) is 10, since you
cannot divide a number by zero. Answer is C
2)
F(x)
=(x-6)(x+6)/(x2 - 9)
The vertical asymptotes are x=3 and x=-3. Graph the function on a graphing
calculator to observe the behavior of the function at these points. There is
both a positive and negative vertical asymptote a both x=3 and x=-3. Keep in
mind that the denominator approaches zero at these points, and thus f(x) approaches
either positive or negative infinite, depending on whether the denominator, however small, is a positive or
negative number. Answer is B) 3, -3
3)
F(x) = (x2
+ 4x-7) / (x-7)
Although there is a vertical asymptote as x=7, there is no horizontal asymptote.
This makes sense. As X gets bigger, there is nothing to hold y back from
getting greater and greater. X2 is the dominant term, and it’s only
in the numerator. A) none
4)
(x2 +
8x -2) / (x-2)
This function is very similar in structure to the previous one. Same rules
apply. Dominant term only in the numerator means no horizontal asymptote.
A)None
5)
Our
function approaches 0 as x approaches infinite, and has a vertical asymptote at
x=2 and x=1.
Here’s an easy example: 10 / ((x-2)*(x-1)). At x=2 and x=1, there is both a
positive and negative vertical asymptote. As x approaches infinite, the
numerator is dominated by the denominator, which contains x (actually x2 ),
and thus y approaches zero.
Answer:
60
Step-by-step explanation:
yes, it's a question
have a great day
Both the equation and its inverse are functions.
In order to tell this, we first need to look at the inverse of the function. You can find the inverse of any function by switching the f(x) value and the x value. Then solve for the new f(x) value. The result will be your inverse function. Below is the step-by-step process for solving this one.
f(x) = 3x^2 + 5 ----> Switch the f(x) and x values
x = 3f(x)^2 + 5 ----> Subtract 5 from both sides
x - 5 = 3f(x)^2 ----> Divide both sides by 3
= f(x)^2 ----> Take the square root of both sides.
= f(x) ----> Change the order for formatting purposes.
f(x) =
Now you have the inverse function. You'll notice with both cases, there is only one output for each input. No matter what we put in for x in both cases, there will be only one f(x) value that comes out. This is the definition of a function and thus proves both the original and new inverse are both functions.