Find the inverse function of the function f, of, x, equals, start fraction, 6, x, divided by, 7, end fractionf(x)= 76x .
Question
Find the inverse function of the function
Solution
To find the inverse of the function f(x) = 6x/7, we follow these steps:
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Replace f(x) with y. This gives us y = 6x/7.
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Swap x and y. This gives us x = 6y/7.
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Solve for y. To do this, we multiply both sides by 7 to get 7x = 6y. Then, divide both sides by 6 to get y = 7x/6.
So, the inverse of the function f(x) = 6x/7 is f^-1(x) = 7x/6.
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