If F(x) = X+1 And G(x)=3x-2, What Is G[f(5)]? | Socratic

If #f(x) = x+1# and #g(x)=3x-2#, what is #g[f(5)]#? Algebra

1 Answer

Acquaintance Jul 10, 2016

#g(f(5)) = 16#

Explanation:

We have two separate equations, and we are asked to find what one equation equals when another equation equals something else. It may sound confusing, but just follow the steps.

#f(x) = x + 1# and #g(x) = 3x-2#. We are asked to find #g(f(5))#. So first, we must find #f(5)#. Plug in #5# into all variables in #f(x)#.

#f(x) = x + 1#

#f(5) = 5 + 1#

#f(5) = 6#

We've determined #f(5)#. Now we must find #g(f(5))#. We must plug in #6# for all variables in #g(x)#.

#g(x) = 3x-2#

#g(f(5)) = 3(6) - 2#

#g(f(5)) = 18 - 2#

#g(f(5)) = 16#

We can conclude that #g(f(5)) = 16#.

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