Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
The degree of the polynomial formed is 6.
The degree of a polynomial is the highest degree of the variables present with non-zero coefficients.
For example the polynomial has three 7x³y²+9xy+4 terms. The first term has a degree of 5 (the sum of the powers 2 and 3), the second term has a degree of 1, and the last term has a degree of 0. Therefore, the polynomial has a degree of 5, which is the highest degree of any term.
Now the given functions are:
[tex]f(x)=x^3[/tex] ,g(x)=3x²-1 and h(x)=2x
Now we have to find (f ° g° h)(x). Let us first find (g°h)(x).
(g°h)(x) is equal to g[h(x)]
=g[2x+5]
=3(2x+5)²-1
=3(4x²+20x+25)-1
=12x²+60x+74
Now we find (f ° g° h)(x)
(f ° g° h)(x)=f[g(2x+5)]
f[g(2x+5)]=f(12x²+60x+74)
f(12x²+60x+74)=(12x²+60x+74)³
Now we have to simplify the expression:
(12x²+60x+74)³
=[tex]1728x^6+25920x^5+161568x^4+535680x^3+996336x^2+985680x+405224[/tex]
The largest degree of the variable x in the polynomial is 6.
hence the degree of [f o go h](x) is 6.
To learn more about degree of a function or polynomial visit:
https://brainly.com/question/2284746
#SPJ9
We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.
