the following a The domain of un interval domain Solution1 g

the following (a) The domain of un interval domain

Solution

1) given f(x)=(8-16x),g(x)=-5_/x

a)(g0f)(x)

=g(f(x))

=-5_/(8-16x)

b)domain is 8-16x>0

=>16x<8

=>x<8_/16

=>x<1_/2

domain is (-,1_/2)

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2)given f(x)=|x|,g(x)=8x+9

f(g(x))=|8x+9|

g(f(x))=8|x| +9

g(f(x))=|8x| +9