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

(a)

x² + 2

(b)

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

(c)

x²- 2

(d)

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

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

(a)

5

(b)

-1

(c)

-9

(d)

1

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