If f and g are two functions defined on N , such that f ( n ) = { 2 n − 1 2 n + 2 i f ni se v e n i f ni so dd and g ( n ) = f ( n ) + f ( n + 1 ) . Then the range of g is

Question

If f and g are two functions defined on N , such that f ( n ) = { 2 n − 1 2 n + 2 ​ i f ni se v e n i f ni so dd ​ and g ( n ) = f ( n ) + f ( n + 1 ) . Then the range of g is

TestHub · Accepted Answer

g ( n ) = f ( n ) + f ( n + 1 ) If n is even, n + 1 is odd. ∴ g ( n ) = 2 n − 1 + 2 ( n + 1 ) + 2 = 4 n + 3 If n is odd, n + 1 is even. ∴ g ( n ) = 2 n + 2 + 2 ( n + 1 ) − 1 = 4 n + 3.

Mathematics - Functions Question with Solution | TestHub

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