CATAlgebra > Medium161616181818363636404040✅ Correct Option: 3Related questions:CAT 2019 Slot 1For any positive integer nnn, let f(n)=n(n+1)f(n)=n(n+1)f(n)=n(n+1) if nnn is even, and f(n)=n+3f(n)=n+3f(n)=n+3 if nnn is odd. If mmm is a positive integer such that 8f(m+1)−f(m)=28 f(m+1)-f(m)=28f(m+1)−f(m)=2, then mmm equalsCAT 2020 Slot 3If f(x+y)=f(x)f(y)f(x + y) = f (x) f (y)f(x+y)=f(x)f(y) and f(5)=4f(5) = 4f(5)=4, then f(10)−f(−10)f (10) - f (-10)f(10)−f(−10) is equal toCAT 2023 Slot 3Suppose f(x,y)f(x, y)f(x,y) is a real valued function such that f(3x+2y,2x−5y)=19xf(3x + 2y, 2x- 5y) = 19xf(3x+2y,2x−5y)=19x, for all real numbers xxx and yyy. The value of xxx for which f(x,2x)=27f(x, 2x) = 27f(x,2x)=27, is