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Short Answers of Functions(Mathematics B /4MB1)

Functions (2014-2016)



  1. (a)(i) y (ii) z  (iii) x (b) h^{-1}: x \mapsto \frac{1-2 x}{x} (c) x=1
  2. (a) -10 \quad (b) 1.6, \frac{8}{5} \quad (c) \frac{3(2 x+15)}{x+10} (d) x=-5 \quad
  3. (a) -2 \quad (b) \left(f^{-1}(x)=\right) \frac{2+x}{x} (c) show (d) x=0 or x \neq 0 (e) -\frac{2}{3} or 2
  4. (a)(i) \frac {7}{3} (ii) 9 (b) \frac {1-x}{2} (c) show (d) x=3, x=-2
  5. (a)(i) -6 \quad (ii) f(x) \geqslant-6 \quad (b) \frac{3}{2} \quad
  6. (a) a \times 4+b=16 (b) a=3, b=4 (c) f^{-1}(x)=\frac{x-4}{3} (d) x=-2
  7. (a) -1.75 (b) \mathrm{fg}: x \mapsto 4 x^2-24 x+28 (1) 7,-1 \quad
  8. (a) \quad g f(-1)=-18 \quad (b) f^{-1}: x\mapsto \frac{x+6}{5} (c) x=-\frac 12
  9. \{4,0,-2\}
  10. (a)(i) f(x)>-2 \quad (ii) g(x) \leqslant 7 (b) f^{-1}: x \mapsto \frac{2-x}{4} (c) x=-1.28
  11. (a)(i) ( Accept x \neq 1) (b) f^{-1}: x \mapsto \frac{4+x}{x} \quad (c) \frac{5}{3},-1
  12. -3+4 x \quad
  13. (a)(i) f^{-1}:x \mapsto \frac{1}{x-1} \quad (ii) (x=) 1 or x \neq 1 \quad (b) 3 x^2-5 x-2=0, \frac{-1}{3}, 2

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