1

Given #f(x)# is a polynomial function of #x#, satisfying #f(x)*f(y)= f(x) +f(y)+f(x y)-2# and that #f(2)=5#. Then #f(3)# is equal to? A) 10 B) 24 C) 15 D) none

Question

Given #f(x)# is a polynomial function of #x#, satisfying #f(x)*f(y)= f(x) +f(y)+f(x y)-2# and that #f(2)=5#. Then #f(3)# is equal to? A) 10 B) 24 C) 15 D) none
Given #f(x)# is a polynomial function of #x#, satisfying #f(x)*f(y)= f(x) +f(y)+f(x y)-2# and that #f(2)=5#. Then #f(3)# is equal to? A) 10 B) 24 C) 15 D) none

Answers

option #d)#

Explanation:

#f(1)f(3)=f(1)+f(3)+f(3)-2# then

#f(3)(f(1)-2)=f(1)-2->f(3) = (f(1)-2)/(f(1)-2)#

To avoid indeterminations

#f(1)cdot f(1) = f(1)+f(1)+f(1)-2# or

#f(1)^2-3f(1)+2=0#

solving for #f(1)# we have

#f(1)={1,2}# so taking #f(1)= 1# we have finally

#f(3) = 1#


Similar Solved Questions

1 answers
Please Answer A-D nded fabric. Assume or of capital budgeting, and costs, as to why the...
Please Answer A-D nded fabric. Assume or of capital budgeting, and costs, as to why the NI firm's required rate of return is constant al Somu Integrative Problem 13-35 Argile Textiles is evaluating a new product, a silk/wool blended fabric. A that you were recently hired as assistant to the dir...
1 answers
Entries for Issuing Bonds and Amortizing Premium by Straight-Line Method Daan Corporation wholesales repair products to...
Entries for Issuing Bonds and Amortizing Premium by Straight-Line Method Daan Corporation wholesales repair products to equipment manufacturers. On April 1, 2016, Daan Corporation issued $6,300,000 of 4-year, 9% bonds at a market (effective) interest rate of 6%, receiving cash of $6,963,362. Interes...
1 answers
Consider the following random variable based on throwing a dice -2 for 0 for Norg or...
Consider the following random variable based on throwing a dice -2 for 0 for Norg or +1 for C3 or Calculate (Q) and Var(Q) Solution: 0,1...
1 answers
For equilibrium at 25 oC with the atmosphere, what are the aqueous concentrations of N2 (mg/L),...
For equilibrium at 25 oC with the atmosphere, what are the aqueous concentrations of N2 (mg/L), O2 (mg/L) and CO2 (mol/L) in natural water? Example: N2 : 0.79 atm O2 : 0.21 atm CO2 : 10-3.38 atm...
1 answers
Quizzes will be available for review for three days after the deadline. D Question 13 Production...
Quizzes will be available for review for three days after the deadline. D Question 13 Production efficiency occurs when production O is on the production possibilities frontier or inside it. O is on the production possibilities frontier. O is at any attainable point. O is at a point beyond the produ...
1 answers
In general, respiratory acidosis is caused by: a. compensation for metabolic alkalosis b. states that induce...
In general, respiratory acidosis is caused by: a. compensation for metabolic alkalosis b. states that induce hyperventilation c. respiratory disease causing retention of carbon dioxide d. hormone imbalances. The secretion of ADH is stimulated by a. dec. in plasma osmolality b. excess water intake c....
1 answers
Nora consumes only two goods (food and clothing) and her preferences for these goods can be...
Nora consumes only two goods (food and clothing) and her preferences for these goods can be represented by the following utility function UF,C=F2C where F is the quantity of food consumed and C is the amount of clothing consumed respectively. Suppose Nora’s allocated monthly income on the two...
1 answers
In a vertical analysis, the base for cost of goods sold is a. total selling expenses...
In a vertical analysis, the base for cost of goods sold is a. total selling expenses b. sales c. total expenses d. gross profit Which of the following is (are) objective(s) of lean manufacturing? a. eliminating waste b. increasing inventory levels c. increased production speed d. all of the above...
1 answers
Waterways Corporation is a private corporation formed for the purpose of providing the products and the...
Waterways Corporation is a private corporation formed for the purpose of providing the products and the services needed to irrigate farms, parks, commercial projects, and private lawns. It has a centrally located factory in a U.S. city that manufactures the products it markets to retail outlets acro...
1 answers
How do you solve and graph #z+3>2/3#?
How do you solve and graph #z+3>2/3#?...
1 answers
The force F, acting in a constant direction on the 24-kg the block when 8 = Othe block is moving ...
The force F, acting in a constant direction on the 24-kg the block when 8 = Othe block is moving to the right at v 6 m/s. The coefficient of kinetic friction between the block and surface is 0.3 (Figure 1) PartA Determine how far the block must slide before its velocity becomes 15 m/s Express your a...
1 answers
Production Budget Weightless Inc. produces a small and large version of its popular electronic scale. The...
Production Budget Weightless Inc. produces a small and large version of its popular electronic scale. The anticipated unit sales for the scales by sales region are as follows: Bath Scale Gym Scale East Region unit sales 25,400 33,000 West Region unit sales 27,400 28,800 Total 52,800 61,800 The finis...
1 answers
How are QBO and QBDT similar?
How are QBO and QBDT similar?...
1 answers
Imagine you are sitting in a room full of oxygen molecules at 300 K. If the...
Imagine you are sitting in a room full of oxygen molecules at 300 K. If the room has a volume of 9.0 103 m3, what is the number of oxygen molecules in the room? molecules...
1 answers
Review Cesar Express your answer to three significant figures and include the appropria unita. When an...
Review Cesar Express your answer to three significant figures and include the appropria unita. When an ameeris sed to measure the current in the cut shown in Foure 1). it reads 10 A View Available) R-0400 Preview Correct Comece answer is shown. Your answer 0.45 Omega was the rounded ferry or ved a d...
1 answers
For the circuit shown in figure 7, find the node voltages Vi. V2 and Va nalysis 12 (4 V 2Ω 4 A Fig.7 h. For the circuit...
For the circuit shown in figure 7, find the node voltages Vi. V2 and Va nalysis 12 (4 V 2Ω 4 A Fig.7 h. For the circuit shown in figure 7, find the mesh currents I, la, and Is For the circuit shown in figure 7, find the node voltages Vi. V2 and Va nalysis 12 (4 V 2Ω 4 A Fig.7 h. For the...

-- 0.012620--