please do question number 10 and all its parts Page 4 is 200

please do question number 10 and all its parts

Page 4 is 2000 in a bank interest nate of 69% per year account in 10 years If the is compounded monthly, how much will be in the oedoourse we suppose no deposits or withdrawals occur during this time) that (b)(5 poins)If the imlerest is compounded continuously, how long take for the $2000 to grow to S5000? it Your answer should be rounded decimal place. points) and net 8 Find and simplify: gofG) Now the domain points) Lel Axo. +5for 20 Fina the domain and the range for fix). Now find imense fundion for fx and its domain 4 points (ch Find ctly tan

Solution

f(x)=sqrt(x-6) , g(x)=x^2 +8

gof(x)=g(f(x))=g(sqrt(x-6)) = x-6+8=x+2

domain

here the domain of input function that is of f(x) is x>=6 and the domain of gof(x) is all real numbers. Therefore domain is [6,infinity)

b.f(x)=x^2+5

domain

here their is no restriction on x.Therefore domain is (-inf,inf)

y=x^2 +5

switching x and y

x=y^2+5

y=sqrt(x-5)

and that\'s the inverse

and range is [5,inf)