Question 8
$$f(x) = \dfrac{2x + 2}{2x - 2}$$, where $$y = f(x)$$. Find the ratio of $$x$$ to $$f(y)$$.
Solution
$$f\left(y\right)=f\left(f\left(x\right)\right)$$
or, $$f\left(y\right)=f\left(\frac{2x+2}{2x-2}\right)$$
$$f\left(y\right)=\frac{2\left(\frac{2x+2}{2x-2}\right)+2}{2\left(\frac{2x+2}{2x-2}\right)-2}$$
or, $$f\left(y\right)=\frac{8x}{8}=x$$
Therefore x:f(y) = 1:1
Create a FREE account and get:
- All Quant Formulas and shortcuts PDF
- 170+ previous papers with solutions PDF
- Top 5000+ MBA exam Solved Questions for Free
IIFT Quant Questions | IIFT Quantitative Ability
IIFT Profit and Loss QuestionsIIFT Probability, Combinatorics QuestionsIIFT Functions, Graphs and Statistics QuestionsIIFT Number Series QuestionsIIFT Progressions and Series QuestionsIIFT Remainders QuestionsIIFT Venn Diagrams QuestionsIIFT Time, Speed and Distance QuestionsIIFT Inequalities QuestionsIIFT Miscellaneous QuestionsIIFT Algebra QuestionsIIFT Averages, Ratio and Proportion QuestionsIIFT Logarithms, Surds and Indices QuestionsIIFT Arithmetic QuestionsIIFT Number Systems QuestionsIIFT Linear Equations QuestionsIIFT Logarithms QuestionsIIFT Geometry QuestionsIIFT Data Sufficiency QuestionsIIFT Mensuration QuestionsIIFT Averages QuestionsIIFT Simple Interest Compound Interest QuestionsIIFT Coordinate Geometry QuestionsIIFT Averages Mixtures Alligations QuestionsIIFT Quadratic Equations QuestionsIIFT Time Speed Distance QuestionsIIFT Time And Work QuestionsIIFT Percentages QuestionsIIFT Profit And Loss Questions
IIFT DILR Questions | LRDI Questions For IIFT
IIFT DI with connected data sets QuestionsIIFT Puzzles QuestionsIIFT Truth Lie Concept QuestionsIIFT Data Interpretation QuestionsIIFT Scheduling QuestionsIIFT Quant Based LR QuestionsIIFT Charts QuestionsIIFT Data change over a period QuestionsIIFT Miscellaneous LR QuestionsIIFT DI Miscellaneous QuestionsIIFT Data Interpretation Basics QuestionsIIFT Selection With Condition QuestionsIIFT 2D & 3D LR QuestionsIIFT Table based DI Sets QuestionsIIFT Coins and Weights QuestionsIIFT Venn Diagrams QuestionsIIFT Special Charts QuestionsIIFT Quant Based DI QuestionsIIFT Routes And Networks QuestionsIIFT Games and Tournamnents QuestionsIIFT Maxima-Minima QuestionsIIFT Arrangement Questions
