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Subjects
Maths TNSB Mentoring
Class 10
Relations and functions
Composition of functions
2.
Find the composition of functions
Question:
2
m.
Find \(f \circ g\) and \(g \circ f\) when \(f(x) = 2x + 1\) and \(g(x) = x^2 - 2\).
\(f \circ g\) \(=\)
4
x
2
+
4
x
−
1
4
x
2
+
4
x
+
1
2
x
2
+
3
2
x
2
−
3
\(g \circ f\) \(=\)
4
x
2
+
4
x
+
1
4
x
2
+
4
x
−
1
2
x
2
+
3
2
x
2
−
3
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