Answered

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Given: F(x) = 3x^2+ 1, G(x) = 2x - 3, H(x) = xF(x) + G(x) =

Given Fx 3x2 1 Gx 2x 3 Hx XFx Gx class=

Sagot :

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

Explanation

to add two functions just add like terms,Like terms" are terms whose variables and their exponents, are the same

so

Step 1

let

[tex]\begin{gathered} f(x)=3x^2+1 \\ g(x)=2x-3 \end{gathered}[/tex]

hence

[tex]f(x)+g(x)=3x^2+1+2x-3[/tex]

we can see the only pair of like terms ar +1 and (-3), so

[tex]\begin{gathered} f(x)+g(x)=3x^2+1+2x-3 \\ \text{add like terms} \\ f(x)+g(x)=3x^2+2x-2 \end{gathered}[/tex]

I hope this helps you

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