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Mathematics

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If F(x) = 3x and g(x) = 2x, what is (g.f) (x)?

If Fx 3x And Gx 2x What Is Gf X class=

Answer :

CristofherU365893go CristofherU365893go

[tex]\begin{gathered} f(x)=3x \\ g(x)=2x \end{gathered}[/tex]

Composition of functions:

[tex](f\circ g)(x)=f(g(x))[/tex]

Substitute the x in f for g(x):

[tex](f\circ g)(x)=3(g(x))=3(2x)=6x[/tex]

Then, the given composition is equal to 6x

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