What is the domain of the function f(x)=5/(5x-7) ?

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The domain of a function f(x) is all the values of x for which f(x) is a determinate quantity.

Here f(x) = 5 / (5x - 7)

f(x) is not defined for 5x - 7 = 0

=> 5x = 7

=> x = 7/5

Therefore the domain of the function is all values of x except x = 7/5.

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