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14-06-2021
Mathematics

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if f(x)=3x-7,g(x)=x+2/5andg-1of(x)=f(x),find the value of x

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mathmate mathmate

14-06-2021

Answer:

x = 5/2 = 2.5

Step-by-step explanation:

Given

f(x) = 3x-7

g(x) = x+2

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

First find g^(-1)(x) = h(x)

x=h(x)+2

h(x) = x -2

h(x) = x - 2 = f(x) = 3x-7

solve for x

x-2 = 3x -7

-2 + 7 = 3x - x

2x = 5

x = 5/2

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