the difference of the two numbers is three and x represents the smaller number i) Represent the information given in equation form ii) Express as a quadratic equation iii) Solve the quadratic equation to find possible values for x iv) If told that x is a positive number, what are the values of the two original numbers?   Question 2:  Given that f(x) = 3x + 2 g(x) = 4 – x and h(x) = 2x - 7                                                     2 Find:- i) f(-4) =   ii) g[h(5)] =.   iii) f[g(8)] = iv) hᴏf(x)       v) g-1(0) =   Question 3:  Give Log 2 = 0.301, log 3 = 0.477 and log 5 = 0.699 using the information given

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Can you answer these three questions please

Question 1:

Two numbers, when multiplied, equal 54.

If the difference of the two numbers is three and x represents the smaller number

i) Represent the information given in equation form

ii) Express as a quadratic equation

iii) Solve the quadratic equation to find possible values for x

iv) If told that x is a positive number, what are the values of the two original numbers?

 

Question 2: 

Given that f(x) = 3x + 2 g(x) = 4 – x and h(x) = 2x - 7

                                                    2

Find:- i) f(-4) =   ii) g[h(5)] =.   iii) f[g(8)] =

iv) hf(x)       v) g-1(0) =

 

Question 3:

 Give Log 2 = 0.301, log 3 = 0.477 and log 5 = 0.699 using the information given find

a) Log 60    b) Log 1.5

 

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