a. Find h(x).
b. What is the domain of h(x)?
c. Find h(2) and h(0).
Please help! I tried to do it but I'm not sure if I did it right...
To find f(g(x)) first put g(x) inside and get f(x-1)... now use the action os f(x)
a) Then h(x) = sqrt(x-1). OK!
b) The domain of h(x) is all real number x so that x >= 1... because the function sqrt(x)
require x > = 0.
c) h(2) = sqrt(2-1) =1 ,... h(0) cannot be find because 0 is out of the domain. OK!
√(x-1)
x≥1
√2-1 = √1 = 1
√0-1 = √-1 --> not in domain
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Answers & Comments
To find f(g(x)) first put g(x) inside and get f(x-1)... now use the action os f(x)
a) Then h(x) = sqrt(x-1). OK!
b) The domain of h(x) is all real number x so that x >= 1... because the function sqrt(x)
require x > = 0.
c) h(2) = sqrt(2-1) =1 ,... h(0) cannot be find because 0 is out of the domain. OK!
√(x-1)
x≥1
√2-1 = √1 = 1
√0-1 = √-1 --> not in domain