How do you find the domain and range of #f(x) = - sqrt ( 4x^2 + 2x^4 +5 )#?

1 Answer
Gerardina C.
Jun 5, 2016

domain is #R#
range is all negative real numbers

Explanation:

under squareroot we can have a positive or zero number so
#2x^4+4x^2+5>=0#
all the terms are positive because squared and summed
so it always is positive, for all x in R
because of squareroot produces a positive number and it is preceeded by negative sign, range is all negative real numbers

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