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ID: 3341634 • Letter: T

Question

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VA http://www.webassign.net/web/student/Assignment-Responses/submit?dep 6711142 WHW/2 x C My Q&A; Chegg.com Convert Select 10. 3 points Find each of the following functions. (a) fog State the domain of the function. (Enter your answer using interval notation.) (b) g of State the domain of the function. (Enter your answer using interval notation.) (c) f of State the domain of the function. (Enter your answer using interval notation.) (d) g o g State the domain of the function. (Enter your answer using interval notation.) Need Help? Read It Watch It Chat About It C X My Notes I SE ET2 1.2.039. 8:02 AM

Explanation / Answer

f(x)=x^2-1

g(x)=5x+5


a.) f*g=(x^2-1)(5x+5)=5x^3+5x^2-5x-5

domain: all real numbers


b.) g*f=(5x+5)(x^2-1)=5x^3+5x^2-5x-5

domain: all real numbers


c.) f*f=(x^2-1)(x^2-1)=x^4-2x^2+1

domain: all real numbers


d.) g*g=(5x+5)(5x+5)=25x^2+50x+25

domain: all real numbers


domain: all real numbers => -infinity to +infinity