If f- A- A defined by fx -4x -36x-4 where A- R-23- Find f-1

The correct option is B 4x+36x 4 f( x ) = 4x+3 6x 4 let y= 4x+3 6x 4 ⇒ 6xy 4y=4x+3 ⇒ 6xy 4x=3+4y ⇒ x(6y 4)=3+4y ⇒ x= 3+4y ...

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Inverse of a Function

If f: A→ A ...

Question

If $f : A \to A$ defined by $f (x) = \frac{4 x + 3}{6 x - 4}$ where $A = R - \frac{2}{3}$ . Find $f^{- 1}$

2 x

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\frac{4 x + 3}{6 x - 4}

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\frac{x}{2}

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None of these

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Solution

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Similar questions

f

A = R -

{\frac{2}{3}}

f (x) = \frac{4 x + 3}{6 x - 4}

f^{- 1}

f (x) = x^{4} - 4 x^{3} + 6 x^{2} - 4 x + 1

x \neq 0

∣ ∣ ∣ ∣ \begin{matrix} x + 1 & 2 x + 1 & 3 x + 1 2 x & 4 x + 3 & 6 x + 3 4 x + 4 & 6 x + 4 & 8 x + 4 \end{matrix} ∣ ∣ ∣ ∣ = 0

x + 1

If, show that f o f(x) = x, for all. What is the inverse of f?

(6 x^{5} - 4 x^{4} + 8 x^{3} + 2 x^{3}) \div 2 x^{2}

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