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06-10-2021
Mathematics

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If f(x) = 5x²-4 and g(x) = x-2, what is f of g (-3)

If fx 5x4 and gx x2 what is f of g 3 class=

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AlgebraicAardvark AlgebraicAardvark

06-10-2021

You start with

[tex](f\circ g) (-3) = f(g(-3))[/tex]

You first find

[tex]g(-3) = -3-2 = -5[/tex]

You then substitute that back into the first line

[tex]f(g(-3)) = f(-5) = 5(-5)^2-4 = 125-4 = 121[/tex]

So, [tex](f\circ g) (-3) = 121[/tex]

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