1.2.3c Function Example 4 and 5

Example 4
Given the function

f : x \mapsto 3 x + 2

$f : x \mapsto 3 x + 2$ , find the value of
(a)

f (2)

$f (2)$
(b)

f (- 5)

$f (- 5)$
(c)

f (\frac{1}{3})

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

Example 5
If

f (x) = x^{2} + 3 x + 2

$f (x) = x^{2} + 3 x + 2$ , express each of the following in terms of x:
(a)

f (2 x)

$f (2 x)$
(b)

f (3 x + 1)

$f (3 x + 1)$
(c)

f (x^{2})

$f (x^{2})$