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 f, of, x, equals, start fraction, 6, x, divided by, 7, end fractionf(x)= 76x .
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.
Similar Questions
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f, of, x, equals, start fraction, 2, x, plus, 9, divided by, 2, x, minus, 7, end fractionf(x)= 2x−72x+9
If F(x) = , which of the following is the inverse of F(x)?
Select the correct answer.What is the inverse of function f?𝑓(𝑥)=𝑥+7 A. 𝑓-1(𝑥)=(𝑥+7)2,for𝑥≥-7 B. 𝑓-1(𝑥)=𝑥2+7,for𝑥≥-7 C. 𝑓-1(𝑥)=𝑥2−7,for𝑥≥7 D. 𝑓-1(𝑥)=(𝑥−7)2,for𝑥≥7
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