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what is g(f(x)) if:

f(x)=3x-5
g(x)=13

is it no solution?

2007-06-26 19:37:17 · 6 answers · asked by Anonymous in Science & Mathematics Mathematics

6 answers

f(x) = 3x - 5
g(x) = 13

Write it out.

g(f(x))

Substitute f(x) with what it is defined as

g(3x - 5)

Now, solve using the definition of g(x). Since there is no variable involved in g(x), then it is 13 no matter what. That is,

g(3x - 5) = 13

2007-06-26 19:41:28 · answer #1 · answered by Puggy 7 · 2 0

In g ( x ) = 13, there is no x.
It means that g ( x ) has a constant value of 13 for any value of x.
Therefore g [ f ( x ) ] is also 13.

2007-06-27 03:00:33 · answer #2 · answered by Madhukar 7 · 0 0

Well, g(x) is constant funciton. So g(anything) = 13.

2007-06-27 02:54:06 · answer #3 · answered by nayanmange 4 · 0 0

since there is no x in g(x)=13, therefore, g(f(x)) will also be the same.

g(x)=g(f(x))=13

2007-06-27 02:41:57 · answer #4 · answered by Jain 4 · 0 0

f(g(x))= 3(13)-5= 34

g(f(x))= 13

2007-06-27 02:41:39 · answer #5 · answered by DBSII 3 · 0 0

Since there is no occurrence of x in "g(x)" there is no solution.

2007-06-27 02:41:20 · answer #6 · answered by Helmut 7 · 0 1

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