Inverse of a composite function

label Algebra
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if f(x)=(3x-27)/14 then find f(f^-1(241))

May 5th, 2015

f(x) = (3x - 27)/14

f(f^-1(241))

the inverse of our function f^-1(241) = 14/(3x - 27)

= 14/(3*241-27) = 0.0201

then f(f^-1(241)) = f(0.0201) = (3(0.0201) - 27)/14 = -1.92


May 5th, 2015

actually the correct answer is 241 itself because it must start and end the same


May 5th, 2015

please allow me to correct it. thank you

May 5th, 2015

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