2 f ( x ) + 3 f [ ( 4 x + 5 ) ( x − 4 ) ] = ( x + 1 ) 2 Find the value of f(5) if x is a real number not equal to 4. Options: A . &nbsp-62 B . &nbsp1112 C . &nbsp442 D . &nbspNone of these

2f(x)+3f[(4x+5)(x−4)]=(x+1)2 Find the value of f(5) if x is a real numbe

Question

2 f (x) + 3 f [\frac{(4 x + 5)}{(x - 4)}] = (x + 1)^{2}

Find the value of f(5) if x is a real number not equal to 4.

Options:

A . -62

B . 1112

C . 442

D . None of these

Answer: Option D
:
D
Put x=5, 2f(5)+3f(25)=36.
Put x=25, 2f(25)+3f(5)=676.
f(5) = 391.2

Was this answer helpful ?

Next Question

Question 1. How much milk should be added to 800 dl of a 15% milk solution to make the strength 32%? ....

Question 2. The roots of the equation are?....

Question 3. Two stations A and B are 920 km apart. A train T1, which stops for 5 minutes in every town-station and for 3 minutes in ....C is (Assume T1 stops only at town or village-stations)___

Question 4. Let S be the set of all four-digit positive integers whose digits are 3, 5, 7 and 9, with no digit repeated in the same ....all of the integers in S is divided by 9.

Question 5. A rectangular pattern on the wall looks like this. The shaded triangle was painted with a special paint costing thrice t....triangle and the remaining rectangle, Given that PQ=QS and QR=RS.

Question 6. In the given figure, the sides YX, XZ, ZY are extended such that MY=YZ, NX=XY, XZ=ZO. The area of XYZ = 10, what is the ....XYZ = 10, what is the area of DMNO ___

Question 7. There are 200 students in a class out of which 40% opt for dance, 30% opt for music and 50% for debate as extracurricula....of students who opt for exactly one of these activities?

Question 8. Katrina walks down an up-escalator and counts 150 steps. Priyanka walks up the same escalator and counts 75 steps. Katri....as Priyanka. How many steps are visible on the escalator?

Question 9. Find out the graph representing the following function f(x) = x² – 3....

Question 10. (m+1)2 = 24n+ 2m +2. m is less than 100 and n is any whole number. Find the number of possible values of m ?....

Data intrepretation Problem 2 - Part 3 Tabulation Vedic Maths

Volume & Surface Area Surface Area and V Cuboid Vedic Maths

Data Interpretation (DI) Part1 Basic Concepts Reasoning (Hindi)

Chapter 1 - GLOBAL STEEL SCENARIO & INDI Part 1 : (13-04-2024) ICA 2024

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE 2024

Cube & Cuboid Part 1 Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Chapter 1.1 : INTRODUCTION GPOE/GPA 2024

Chapter 1.1 : Personnel Functions- An overview GFM 2024

Chapter 3.1 : INTRODUCTION GPOE/GPA 2024

Chapter 2.3 : COAL HANDLING PLANT - Set 1 GPOE/GPA 2024

Chapter 2.1 : Overview GFM 2024