If f : R⟶R is defined by (x) = x² + 2, then the preimage 27 are _________

(a)

0.5

(b)

5, -5

(c)

5, 0

(d)

\(\sqrt { 5 } ,-\sqrt { 5 } \)

\((x-\frac { 1 }{ x } )={ x }^{ 2 }+\frac { 1 }{ { x }^{ 2 } } \) then f(x) =

(a)

x² + 2

(b)

\({ x }^{ 2 }+\frac { 1 }{ { x }^{ 2 } } \)

(c)

x²- 2

(d)

\({ x }^{ 2 }-\frac { 1 }{ { x }^{ 2 } } \)

Let f(x) = x² - x, then f(x- 1) - (x + 1) is ___________

(a)

4x

(b)

2-2x

(c)

2-4x

(d)

4x-2

If the order pairs (a, -1) and (5, b) belongs to {(x, y) | y = 2x + 3}, then a and b are __________

(a)

-13, 2

(b)

2, 13

(c)

2, -13

(d)

-2,13

If function f : N⟶N, f(x) = 2x then the function is, then the function is ___________

(a)

Not one - one and not onto

(b)

one-one and onto

(c)

Not one -one but not onto

(d)

one - one but not onto

If f(x) = x + 1 then f(f(f(y + 2))) is ___________

(a)

y + 5

(b)

y + 6

(c)

y + 7

(d)

y + 9

If f(x) = mx + n, when m and n are integers f(-2) = 7, and f(3) = 2 then m and n are equal to ___________

(a)

-1, -5

(b)

1, -9

(c)

-1, 5

(d)

1, 9

The function t which maps temperature in degree Celsius into temperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of  C \(t(C)=\frac { 9c }{ 5 } +32\) is ___________

(a)

37

(b)

39

(c)

35

(d)

36

If f(x) = ax - 2, g(x) = 2x - 1 and fog = gof, the value of a is ___________

(a)

3

(b)

-3

(c)

\(\frac { 1 }{ 3 } \)

(d)

13

If \(f(x)=\frac { 1 }{ x } \), and \(g(x)=\frac { 1 }{ { x }^{ 3 } } \) then f o g o(y), is ________

(a)

\(\frac { 1 }{ { y }^{ 8 } } \)

(b)

\(\frac { 1 }{ { y }^{ 6 } } \)

(c)

\(\frac { 1 }{ { y }^{ 4 } } \)

(d)

\(\frac { 1 }{ { y }^{ 3 } } \)

If f(x) = 2 - 3x, then f o f(1 - x) = ?

(a)

5x+9

(b)

9x-5

(c)

5-9x

(d)

5x-9

If f(x) + f(1 - x) = 2 then \(f\left( \frac { 1 }{ 2 } \right) \) is ___________

(a)

5

(b)

-1

(c)

-9

(d)

1

If f is constant function of value \(\frac { 1 }{ 10 } \), the value of f(1) + f(2) + ... + f(100) is _________

(a)

\(\frac { 1 }{ 100 } \)

(b)

100

(c)

\(\frac { 1 }{ 10 } \)

(d)

10

If \(f(x)=\frac { x+1 }{ x-2 } ,g(x)=\frac { 1+2x }{ x-1 } \) then fog(x) is ___________

(a)

Constant function

(b)

Quadratic function

(c)

Cubic function

(d)

Identify function

If f is identify function, then the value of f(1) - 2f(2) + f(3) is: 

(a)

-1

(b)

-3

(c)

1

(d)

0