How Do You Find G(f(x)) Given F(x)=4x+3 And G(x)=x-2? | Socratic

How do you find g(f(x)) given #f(x)=4x+3# and #g(x)=x-2#? Algebra Expressions, Equations, and Functions Function Notation

1 Answer

smendyka Feb 16, 2017

See the entire solution process below:

Explanation:

To find #g(f(x))# you must substitute #color(red)(f(x))# or #color(red)(4x + 3)# for each occurrence of #color(red)(x)# in #g(x)#.

#g(color(red)(x)) = color(red)(x) - 2# becomes:

#g(color(red)(f(x))) = color(red)((4x + 3)) - 2#

#g(color(red)(f(x))) = color(red)(4x) + color(red)(3) - 2#

#g(color(red)(f(x))) = 4x + 1#

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