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Maths TNSB Mentoring
Class 10 Crash course
Relations and functions
Annual Revision II
4.
PYQ - Find the composition of functions
Question:
2
m.
Find \(f \circ g\) and \(g \circ f\) when \(f(x) = 2x + 3\) and \(g(x) = x^2 - 11\).
\(f \circ g\) \(=\)
4
x
2
+
12
x
+
2
4
x
2
+
12
x
−
2
2
x
2
−
19
2
x
2
+
19
\(g \circ f\) \(=\)
2
x
2
−
19
4
x
2
+
12
x
+
2
4
x
2
+
12
x
−
2
2
x
2
+
19
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