Homework Help: Math

Posted by Anonymous on Sunday, January 20, 2013 at 11:27pm.

Under what circumstances is fog = gof always true? When is this statement true for f(x) = x2 + x – 2 and g(x) = x + 4? (4 marks)

Math - Anonymous, Sunday, January 20, 2013 at 11:27pm
X^2***
Math - Reiny, Monday, January 21, 2013 at 9:08am
It is true when f(x) and g(x) are inverses of each other, that is,
f(g(x)) = g(f(x)) = x

for f(x) = x^2 + x – 2 and g(x) = x + 4, since x+4 is clearly not the inverse of f(x) fog ≠ gof

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