A) \[4-3x\]
B) \[\frac{x+4}{3}\]
C) \[\frac{1}{3x-4}\]
D) \[\frac{3}{x+4}\]
Correct Answer: B
Solution :
Given \[f(x)=3x-4\]. Now let \[y={{f}^{-1}}(x)\,\,\Rightarrow \,\,f(y)=x\] \[\Rightarrow \,\,3y-4=x\,\,\Rightarrow \,\,3y=x+4\] \[\Rightarrow \,\,y=\frac{x+4}{3}\,\,\Rightarrow \,\,{{f}^{-1}}(x)=\frac{x+4}{3}\].
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