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If f is an invertible function, defined as \(f(x)=\frac{3x-4}{5},\) write f-1(x). |
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Answer» Since f-1 is inverse of f. ∴ fof-1 ⇒ fof-1(x) = I(x) ⇒ fof-1(x) = x ⇒ f(f-1(x)) = x ⇒ \(\frac{3(f-1(x))-4}{5}=x\) ⇒ \(f^{-1}(x)=\frac{5x+4}{3}\) |
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