IPMAT IndoreAlgebra > Medium18\frac{1}{8}8112\frac{1}{2}2113226\frac{3^{2}}{2^{6}}2632✅ Correct Option: 1Watch NowNo. of Relations/FunctionsRelated questions:IPMAT Indore 2019A real-valued function fff satisfies the relation f(x)f(y)=f(2xy+3)+3f(x+y)−3f(y)+6yf(x)f(y) = f(2xy + 3) + 3f(x + y) - 3f(y) + 6yf(x)f(y)=f(2xy+3)+3f(x+y)−3f(y)+6y, for all real numbers xxx and yyy, then the value of f(8)f(8)f(8) isIPMAT Indore 2020Given f(x)=x2+log3xf(x) = x^2 + \log_3 xf(x)=x2+log3x and g(y)=2y+f(y)g(y) = 2y + f(y)g(y)=2y+f(y), then the value of g(3)g(3)g(3) equalsIPMAT Indore 2024Let fff and ggg be two functions defined by f(x)=∣x+∣x∣∣f(x) = |x + |x||f(x)=∣x+∣x∣∣ and g(x)=1xg(x) = \frac{1}{x}g(x)=x1 for x≠0x \neq 0x=0. If f(a)+g(f(a))=136f(a) + g(f(a)) = \frac{13}{6}f(a)+g(f(a))=613 for some real aaa, then the maximum possible value off(g(a)) f(g(a))f(g(a)) is: