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The functions f(x) and g(x) are given by the following:

f(x) = x

g(x) = + 2x

Calculate the value of gf()

2

The functions f(x) and g(x) are given by the following:

f(x) = x

g(x) = + 2x

Calculate the value of gf()

2

The functions f(x) and g(x) are given by the following:

f(x) = x

g(x) = 3x -

Solve the equation fg(x) =

4

The functions f(x) and g(x) are given by the following:

f(x) = x

g(x) = 3x -

Solve the equation fg(x) =

4

For all values of x

f(x) = x^{2} +

g(x) = x -

fg(x) can be written as x^{2} - ax + b, where a and b are integers.

Find a and b

Find a and b

a =

b =

b =

2

For all values of x

f(x) = x^{2} +

g(x) = x -

fg(x) can be written as x^{2} - ax + b, where a and b are integers.

Find a and b

Find a and b

a =

b =

b =

2

f is such that

f(x) = x -

Find f^{-1}(x)

f^{-1}(x) =

2

f is such that

f(x) = x -

Find f^{-1}(x)

f^{-1}(x) =

2

For all values of x,

f(x) =
x -

Work out f^{-1}(x)

f^{-1}(x) =

3