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

Lets Practice1Consider The Following Functionsfx 3x2 X 2gx 4x2 23x 4hx 5x2 1alFind Fx Gxb Find Gx Hx class=

Sagot :

To find the functions we need to remember that

[tex](f-g)(x)=f(x)-g(x)[/tex]

Then

[tex]\begin{gathered} (f-g)(x)=(3x^2+x+2)-(4x^2+2(3x-4)) \\ =3x^2+x+2-(4x^2+6x-8) \\ =3x^2+x+2-4x^2-6x+8 \\ =-x^2-5x+10 \end{gathered}[/tex]

Therefore

[tex]f(x)-g(x)=-x^2-5x+10[/tex]

Similarly

[tex]\begin{gathered} (g-h)(x)=g(x)-h(x) \\ =4x^2+2(3x-4)-(5(x^2-1)) \\ =4x^2+6x-8-(5x^2-5) \\ =4x^2+6x-8-5x^2+5 \\ =-x^2+6x-3 \end{gathered}[/tex]

therefore

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

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