MCQOPTIONS
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MCQOPTIONS
This section includes 8 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Let the function f be defined by f(x)=\(\frac{9+3x}{7-2x}\), then f-1(x) is ______ |
| A. | \(\frac{9-3x}{7+2x}\) |
| B. | \(\frac{7x-9}{2x+3}\) |
| C. | \(\frac{2x-7}{3x+9}\) |
| D. | \(\frac{2x-3}{7x+9}\) |
| Answer» C. \(\frac{2x-7}{3x+9}\) | |
| 2. |
Let f:R+→[9,∞) given by f(x)=x2+9. Find the inverse of f. |
| A. | \(\sqrt{x-9}\) |
| B. | \(\sqrt{9-x}\) |
| C. | \(\sqrt{x^2-9}\) |
| D. | x2+9 |
| Answer» B. \(\sqrt{9-x}\) | |
| 3. |
Let M={7,8,9}. Determine which of the following functions is invertible for f:M→M. |
| A. | f = {(7,7),(8,8),(9,9)} |
| B. | f = {(7,8),(7,9),(8,9)} |
| C. | f = {(8,8),(8,7),(9,8)} |
| D. | f = {(9,7),(9,8),(9,9)} |
| Answer» B. f = {(7,8),(7,9),(8,9)} | |
| 4. |
If f:N→N, g:N→N and h:N→R is defined f(x)=3x-5, g(y)=6y2 and h(z)=tanz, find ho(gof). |
| A. | tan(6(3x-5)) |
| B. | tan(6(3x-5)2) |
| C. | tan(3x-5) |
| D. | 6 tan(3x-5)2 |
| Answer» C. tan(3x-5) | |
| 5. |
The function f:R→R defined by f(x)=5x+9 is invertible. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 6. |
If f:R→R f(x)=cosx and g(x)=7x3+6, then fοg(x) is ______ |
| A. | cos(7x3+6) |
| B. | cosx |
| C. | cos(x3) |
| D. | \(cos(\frac{x^3+6}{7})\) |
| Answer» B. cosx | |
| 7. |
If f:R→R is given by f(x)=(5+x4)1/4, then fοf(x) is _______ |
| A. | x |
| B. | 10+x4 |
| C. | 5+x4 |
| D. | (10+x4)1/4 |
| Answer» E. | |
| 8. |
If f:R→R, g(x)=3x2+7 and f(x)=√x, then gοf(x) is equal to _______ |
| A. | 3x-7 |
| B. | 3x-9 |
| C. | 3x+7 |
| D. | 3x-8 |
| Answer» D. 3x-8 | |