Let g the inverse function of f.
The most important property of g and f being inverses of each other, is that
g(f(x))=x, also f(g(x))=x
so, what one function 'does' to x, the other 'undoes' it.
Thus, we have:
f(g(x))=x and alos f(g(x))= -g(x)+3, from the rule
thus :
-g(x)+3=x
-g(x)=x-3
g(x)=-x+3
check: f(g(x))=f(-x+3)=-(-x+3)+3=x-3+3=x
Answer: the inverse of f is g, such that g(x)=-x+3
Answer:
823516
Step-by-step explanation:
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Although there is (1/2) in the front of the expression, the base is 2, not (1/2). (1/2) is a positive number, and 2 is a positive number larger than 1, so as x approaches infinity, f(x) approaches infinity as well. as x approaches negative infinity, f(x) approaches 3.
Answer: (-2 -9)
Step-by-step explanation:
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