Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If f and g are two increasing functions such that fog is defined, then-
Text Solution
Verified by ExpertsThe correct answer is:
A
Let x 1 , x 2 ∈ R such that x 1 < x 2 . Then, x 1 < x 2
⇒ f(x 1 ) < f(x 2 ) [ f is an increasing function]
⇒ g (f(x 1 )) < g(f(x 2 )) [ g is an increasing
function]
⇒ gof (x 1 ) < gof (x 2 )
Hence gof is an increasing function.
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