23. Which of the rational functions below has a hole? A.24. Let f(x)= |2x - 61. Evaluate f(-3). A. 0 B. 1225. Solve the exponential equation 5* = -25. A. x = 2B.C. -12 D. -6.B. x = -2 C. x = -5C. 2+1D..D. no solution.26. Let f(x) = sinx and g(x) = cos x. Which of the following combined functions has the smallest domain?A. f+g B. f-g C. fog D..

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Answered: 23. Which of the rational functions…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.4: Composition Of Functions

Problem 97SE: The number of bacteria in a refrigerated food product is given by N(T)=23T256T+1,3T33 ,where T is...

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The exponential function f(x)=(12)x+3 has the __________ asymptote y= ________. This means that as x, we have (12)x+3 ____________.
The number of bacteria in a refrigerated food product is given by N(T)=23T256T+1,3T33 ,where T is the temperature of the food. When the food is removed from the refrigerator, the temperature is given by T(t)=5t+1.5 , where t is the time in hours. a. Find the composite function N(T(t)) . b. Find the time (round to two decimal places) when the bacteria count reaches 6,752.
The number N of beavers in a given area after x years can be approximated by N=5.5100.23x,0x10. Use the model to approximate how many years it will take for the beaver population to reach 78.
When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream After t minutes is given by C(t)=0.06t0.0002t2 where 0t240 and concentration is measured in mg/L .When is the maximum serum concentration reached, and what is that maximum concentration?
C of these fish caught by fishing over the life span of the fish is given by the catch equation C=FM+FN0 where F is the proportion of fish caught annually, M is the proportion of fish that die of natural causes annually, and N0 is the original number of fish F stocked in the lake. If we let x denotes the ratio FM, then the catch equation can be rewritten as C(x)=x1+xN0 Assume that a lake is stocked with 1000 channel catfish a. Write the catch equation for the lake stocked with channel catfish. b. What is the horizontal asymptote for the catch equation? c. Explain what the horizontal asymptote means in terms of the original 1000 fish. d. What is the vertical asymptote for the catch equation? Does the pole of the equation have any meaning in terms of the fish population?

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23. Which of the rational functions below has a hole? A. 1 B. C. 22