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ritchieandrew249
02.01.2020 •
Mathematics
Evaluate the indicated function for f(x)=x^2-7 and g(x) =x-2
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Ответ:
f(g(x))=(x-2)^2 - 7
(x-2)(x-2) - 7
x^2-2x-2x+4-7
x^2-4x-3
g(f(x))=x^2-2-7
x^2-9
(x+3)(x-3)
Step-by-step explanation:
to solve for f(x), replace x with the g(x).since we don't multiply a bracket with the negative or the positive signs to the exponent, you have to factor into two binomials.use the FOIL method to eliminate the brackets.add like-termsto find g(x), replace x with the f(x).add like-termssince there's difference of square, factor them into two binomialsОтвет: