Question

If $ f(x)=\frac{2x+1}{3x-2}, $ then $ (f\,\,o\,\,f)(2) $ is equal to:

• A. 1
• B. 3
• C. 4
• D. 2
• E. none of these

Answer 1

Answer: (D)

$ \because $ $ f(x)=\frac{2x+1}{3x-2} $ $ \therefore $ $ f(2)=\frac{4+1}{4}=\frac{5}{4} $ $ fof(2)=f\{f(2)\}=f\left( \frac{5}{4} \right) $ $ =\frac{2\left( \frac{5}{4} \right)+1}{3\left( \frac{5}{4}-2 \right)}=\frac{\frac{5+2}{2}}{\frac{15-8}{4}}=\frac{14}{7}=2 $