Answered

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1. Consider the following functions. f(x) = 3x2 + x + 2 g(x) = 4x2 + 2(3x – 4) h(x) = 5(x2 - 1) a. Find f (x) - g(x). b. Find g(x) - h(x).

1 Consider The Following Functions Fx 3x2 X 2 Gx 4x2 23x 4 Hx 5x2 1 A Find F X Gx B Find Gx Hx class=

Sagot :

a.

Let's write function g(x) better:

[tex]g(x)=4x^2+2(3x-4)=4x^2+6x-8[/tex]

Now we can do the substraction easier

[tex]f(x)-g(x)=(3x^2+x+2)-(4x^2+6x-8)_{}[/tex][tex]f(x)-g(x)=3x^2+x+2-4x^2-6x+8[/tex][tex]f(x)-g(x)=(3-4)x^2+(1-6)x+2^{}+8[/tex][tex]f\mleft(x\mright)-g\mleft(x\mright)=-x^2-5x+10[/tex]

That's answer a

b.

We write h(x) better too:

[tex]h(x)=5(x^2-1)=5x^2-5[/tex]

And do the same as before:

[tex]g(x)-h(x)=(4x^2+6x-8)-(5x^2-5)[/tex][tex]g(x)-h(x)=4x^2+6x-8-5x^2+5[/tex][tex]g(x)-h(x)=(4-5)x^2+6x-8+5[/tex][tex]g(x)-h(x)=-x^2+6x-3[/tex]

That's answer b

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