The graph of a logarithmic has a vertical asymptote at x=4 , contains the point (e+4, 1) , and has an x-intercept of 5. Which fu
nction is graphed?
Question options:
f(x) =ln(x−4)
f(x) =ln(x+4)
f(x) =lnx−4
f(x) =lnx+4
Question options:
f(x) =ln(x−4)
f(x) =ln(x+4)
f(x) =lnx−4
f(x) =lnx+4
1 answer:
Answer:
f(x) =ln(x−4)
Step-by-step explanation:
We can easily solve this question by plotting each of the graphs and verify the conditions in the problem,
Please see attached image.
The answer is the first option
f(x) =ln(x−4)
Which corresponds to the function ln(x) shifted four units to the right.
Besides,
f(e+4) =ln(e + 4−4) = ln(e) = 1
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Answer:
First person: $107
Second person: $98
Third person: $93
Step-by-step explanation:
Let be "f" the amount of money (in dollars) that the first person contributed to the purchase, "s" the amount of money (in dollars) that the second person contributed to the purchase and "t" the amount of money (in dollars) that the third person contributed to the purchase.
With the information given in the exercise, you can set up the following equations:
Equation 1 →
Equation 2 →
Equation 3 →
Substitute the Equations 2 and 3 into the Equation 1 and then solve for "f":
Finally, substitute the value of "f" into the Equation 2 and then into the Equation 3, in order to find the values of "s" and "t".
Therefore, you get:
This is the simplest form .
Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.
<h3>Simplification</h3>Simplification is to make something easier to do or understand and to make something less complicated.
Given
is an expression.
On simplifying, we have
This is the simplest form .
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