# Math

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If f(x)=x^2-2 and g(x)=1/(3x) (x does not equal 0), find (fxg)(-2)

• Math -

Given:
f(x)=x²-2
g(x)=1/(3x)
I assume you are working with composite functions, and you are looking for
(f∘g)(x)
=f(g(x))
=f(1/(3x))
=(1/3x)²-2
=1/(9x²)-2
(f∘g)(2)
=1/(9*2²)-2
=1/(9*2²)-2
=1/36-2
=-71/36

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