Question #13b41

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Answer 1 · 2016-03-05T06:32:12

#f(g(2)) = -4#
#g(f(x)) = sqrt(3x - 6)#

#f(x) = 3x - 4#

#g(x) = sqrt(x - 2)#

#f(g(x)) = 3*g(x) - 4#

#=> f(g(x)) = 3(sqrt(x - 2)) - 4#

#=> f(g(2)) = 3(sqrt(2 - 2)) - 4#

#=> f(g(2)) = 3sqrt0 - 4#

#=> f(g(2)) = -4#

#g(f(x)) = sqrt(f(x) - 2)#

#=> g(f(x)) = sqrt((3x - 4) - 2)#

#=> g(f(x)) = sqrt(3x - 6)#