Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Join our Q&A platform to get precise answers from experts in diverse fields and enhance your understanding. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

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

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.