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36. The graphs of polynomial functions f(x) and g (x) are shown on the standard (x, y) coordinate plane below. If function h(x)-f g, which of the following could be h(x)?

36. The graphs of polynomial functions f(x) and g (x) are shown on the standard (x, y) coordinate plane below. If function h(x)-f g, which of the following could be h(x)?

Advanced Engineering Mathematics
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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36. The graphs of polynomial functions f(x) and g (x) are shown on the standard (x, y) coordinate plane below. If function h(x)-S g, which of the following could be h(x)? F. h(x)--x-3 G. h(x) =x+1 H. h(x)=-x- x+3 J. h(x)=x'+3r-x+3 K. A)-x 3-x-3
Transcribed Image Text:36. The graphs of polynomial functions f(x) and g (x) are shown on the standard (x, y) coordinate plane below. If function h(x)-S g, which of the following could be h(x)? F. h(x)--x-3 G. h(x) =x+1 H. h(x)=-x- x+3 J. h(x)=x'+3r-x+3 K. A)-x 3-x-3
Expert Solution
Step 1

It can observe here that f(x) is parabolic curve 

and g(x) is an straight line.

Now let's write the general equation for both curves.

So , 

fx=ax2+b  and   gx=-mx-c where a , b , m , c all are  non zero positive arbitrary constants.       - (1)

Given that 

hx=fx·gx

 

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