SOLUTION: for the indicated functions f and g, find the functions f°g ,and g°f, and find their domains.
f(x)=|x+1|; g(x)= 2x + 3
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-> SOLUTION: for the indicated functions f and g, find the functions f°g ,and g°f, and find their domains.
f(x)=|x+1|; g(x)= 2x + 3
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Question 940031: for the indicated functions f and g, find the functions f°g ,and g°f, and find their domains.
f(x)=|x+1|; g(x)= 2x + 3 Answer by srinivas.g(540) (Show Source):
You can put this solution on YOUR website! f(x)=|x+1|; g(x)= 2x + 3
fog = f(g(x))
=f(2x+3)
replace x with 2x+3 in f(x)
= |2x+3+1|
=|2x+4|
fog =|2x+4|
Domain:
for values of x, the above said function is valid
hence domain is all real numbers (R)
gof = g(f(x))
= g(|x+1|)
replace x with |x+1| in g(x)
=2|x+1| +3
domain:for values of x, the above said function is valid
hence domain is all real numbers (R)
