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The one-to-one functions g and h are defines as follows. g={(-7,-9),(-2,8),(2,-7),(3,2)} h(x)=3x-10 Find the following. g^-1 (2)=_____ h^-1 (x)= ______ (h•h^-1)(-1)=_____
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The one-to-one functions g and h are defines as follows. g={(-7,-9),(-2,8),(2,-7),(3,2)} h(x)=3x-10 Find the following. g^-1 (2)=_____ h^-1 (x)= ______ (h•h^-1)(-1)=_____
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Dec 23, 2017
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The one-to-one functions g and h are defines as follows.
g={(-7,-9),(-2,8),(2,-7),(3,2)}
h(x)=3x-10
Find the following.
g^-1 (2)=_____
h^-1 (x)= ______
(h•h^-1)(-1)=_____
Mathematics
high-school
Kurbz
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Kurbz
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The value of x, when y is 2 is 3.
Therefore, g^-1 (2) = 3
Let y = 3x - 10, then x = (y + 10)/3
Therefore, h^-1 (x) = (x + 10)/3
(h o h^-1)(x) = h(h^-1(x)) = h((x + 10)/3) = 3((x + 10)/3) - 10 = x.
Therefore, (h•h^-1)(-1) = -1
Pratik Lad
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Dec 28, 2017
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Pratik Lad
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