Let g(x)=3f(x/3)+f(3-x) & f"(x)≥0 for all x ∈ (0,3).If g is decreasing in (0,α) & increasing in(α,3)

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#IITJEEMAINS-2024#,let g(x)=3f(x/3)+f(3-x),where f”(x) 0and x€(0,3),g(x) is decreasing inx€(0,alpha) #IITJEEMAINS-2024#,let g(x)=3f(x/3)+f(3-x),where f”(x) 0and x€(0,3),g(x) is decreasing inx€(0,alpha)
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Let g(x)=3f(x/3)+f(3-x) and f Let g(x)=3f(x/3)+f(3-x) and f''(x) is greater than 0 .. | jee mains 2024 January 27 shift 2 solution
Let f : [0,3] → A be defined by f(x) = 2x^3 -15x^2 + 36x + 7 and g : [0,∞)→ B be defined by g(x) Let f : [0,3] → A be defined by f(x) = 2x^3 -15x^2 + 36x + 7 and g : [0,∞)→ B be defined by g(x)
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Let f∶R→R be defined asf(x)={■(-4/3 x^3+2x^2+3,&x gtrTh 0@3xe^x,&x≤0)┤.Then f is increasing function Let f∶R→R be defined asf(x)={■(-4/3 x^3+2x^2+3,&x gtrTh 0@3xe^x,&x≤0)┤.Then f is increasing function