Pls help ASAP on both pls I BEG 3.4.Given f (x) =a.3x-25x + 4 and g(x) = determine the simplified form of y = f(x) - g(x)5x2−11y =x-25x+1x-2If f(x) = x + 3 and g(x) = x² + 8x + 15. Determine an equation for y = f(x) * g(x)a. y = x² + 11x +39b. y = x³ + 11x² + 39x + 45c. y = 2x³ + 11x² +42x + 2d.y=x²-3x - 51b. y =C.5x²-6x-11x-2y =d.y =5x-4x+6x-2

Given that The expression Put the values of the functions in the expression,The correct option is…

Answered: 3. 4. Given f(x) = 5x + 4 and g(x) = =…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Pls help ASAP on both pls I BEG

3.
4.
Given f (x) =
a.
3
x-2
5x + 4 and g(x) = determine the simplified form of y = f(x) - g(x)
5x2−11
y =
x-2
5x+1
x-2
If f(x) = x + 3 and g(x) = x² + 8x + 15. Determine an equation for y = f(x) * g(x)
a. y = x² + 11x +39
b. y = x³ + 11x² + 39x + 45
c. y = 2x³ + 11x² +42x + 2
d.
y=x²-3x - 51
b. y =
C.
5x²-6x-11
x-2
y =
d.
y =
5x-4x+6
x-2

Expert Solution

Step 1: Question 3

Given that $f left parenthesis x right parenthesis equals 5 x plus 4 space a n d space g left parenthesis x right parenthesis equals fraction numerator 3 over denominator x minus 2 end fraction$

The expression $y equals f left parenthesis x right parenthesis minus g left parenthesis x right parenthesis$

Put the values of the functions in the expression,

$y equals 5 x plus 4 minus open parentheses fraction numerator 3 over denominator x minus 2 end fraction close parentheses y equals 5 x plus 4 minus fraction numerator 3 over denominator x minus 2 end fraction T a k e space L C M space left parenthesis x minus 2 right parenthesis y equals fraction numerator left parenthesis 5 x plus 4 right parenthesis left parenthesis x minus 2 right parenthesis minus 3 over denominator x minus 2 end fraction y equals fraction numerator 5 x squared minus 10 x plus 4 x minus 8 minus 3 over denominator x minus 2 end fraction y equals fraction numerator 5 x squared minus 6 x minus 11 over denominator x minus 2 end fraction$

The correct option is (c).