Let f ( x ) = 1 /x − 5 and g ( x ) = (6/x) + 5 . Find the following functions. Simplify your answers. f ( g ( x ) ) = , g ( f ( x ) ) =
Justin Z.
answered • 08/30/21
Experienced Precalculus / Mathematical Modeling Tutor
f ( x ) = 1 /x − 5 is not a clear expression. (1 /x )− 5 or 1/(x-5) ? So I leave the step 2 for yourself
Step 1: plut in f ( g ( x ) ) =1 /[(6/x) + 5]− 5
Step 2: simplification
step 1: g ( f ( x ) )=(6/(1 /x − 5)) + 5
step 2: simplification
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Sam D.
1/(x-5) sorry for the confusion08/30/21