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17-10-2020
Mathematics

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Given f(x) = 4x -17 and g(x)=5/2x+7;x≠0 solve the equation f^-1(x)=g^-1(x)

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LazyBun LazyBun

17-10-2020

Answer:

Explanation:

f(x) = 4x - 17
f^-1(x) = (x + 17)/4

g(x) = 5/2x + 7
g^-1(x) = 2(x - 7)/5

Solve f^-1(x) = g^-1(x)

(x + 17)/4 = 2(x-7)/5
5(x + 17)/20 = 8(x - 7)/20
5x + 85 = 8x - 56
-3x = -141
x = -141/-3
x = 47

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