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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)?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.9: Combining Functions
Problem 50HP
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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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