Composite function (fog)(x) (Jee Mains) | ExamDuo
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Functions
Medium
Composite function (fog)(x)
Two functions are defined as under
f(x) =
{
x + 1,
x ≤ 1
2x + 1,
1 < x ≤ 2
and
g(x) =
{
x²,
- 1 ≤ x < 2
x + 2,
2 ≤ x ≤ 3
then (fog)(x) equals
SELECT ONE OPTION
A
{
x² + 1,
|x| ≤ 1
2x² + 1,
1 < x ≤ √
2
B
{
x² + 1,
|x| ≤ 1
2x² + 1,
1 ≤ x < √
2
C
{
x² + 1,
|x| > 1
2x² + 1,
|x| ≥ √
2
D
None of these
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