PRACTICE QUESTIONS ON FUNCTIONS
1.
X<0
X>6
2.
X€ R
X>0
3. The function f(x) and g(x) are defined by:
f(x)= 2x+3, for −5 ≤ x ≤ 5
g(x)= x2−1, for −2 ≤ x ≤ 4
Find:
(a) Domain of fg(x)
(b) Range of fg(x)
Also go through these worked examples:
Example 1:
Example 2:
Let's now find the range of the composite function:
Hence the range of f(g(x)) is
f(g(x)) ≥ 0