Consider the functions #f(x) = 3x-2# and #g(x) = x^2-1#. What is the value of #f[g(5)]#?

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Answer 1 · 2017-01-07T19:33:31

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First, we can solve #g(5)#

Given #g(color(red)(x)) = color(red)(x)^2 - 1# Then

#g(color(red)(5)) = color(red)(5)^2 - 1#

#g(color(red)(5)) = 25 - 1#

#g(color(red)(5)) = 24#

Then:

#f[g(5)] = f[24] = (3 xx 24) - 2#

#f[g(5)] = 72 - 2#

#f[g(5)] = 70#