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Here's your math-y shmoop du jour...

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If f of x equals x squared minus x and g of x equals x minus 2,

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what is g of f of negative 2?

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And here are the potential answers...

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So this problem just wants us to take two functions given,

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and use them to find g of f of x.

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As always, we start with the innermost set of parentheses.

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We know that f of x equals x squared minus x.

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Since we first want to find f of negative 2, we can replace x with negative 2.

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If we do that, we get negative 2 squared minus negative 2 equals

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4 minus negative 2, which equals 4 plus 2, which is 6.

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f of negative 2 equals 6. Since we can replace f of negative 2 with

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just plain old 6, the problem simplifies to g of 6.

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G of x is equal to x minus 2, and in this case, x is f of negative 2, or 6.

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So you just take 6 minus 2 to get 4, and... we've got our solution.

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C's our guy.

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