Let f(x)=x^2+1/x^2 and g(x)=x-1/x, x ∈𝐑-{-1,0,1}. If h(x)=f(x)/g(x), then the local minimum valu...

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Let f(x)=x^2+ 1/x^2 and g(x)=x-1/x, x in R-{-1,0,1}. If h(x) = f(x)/g(x) then the local minimum ...

For x ∈(0, 3/2), let f(x)=√(x), g(x)=tan x and h(x)=1-x^2/1+x^2. If ϕ(x)=(( hof ) ∘ g)(x), then ϕ...

Let f(x)=(x-1)/(x+1),x€R-{0,-1,1}if f^(n+1)(x)=f(f^n(x)) for all n€N then f^6(6) +f^7(7) is equal to

Let f(x)=e^x-x and g(x)=x^2-x, ∀ x ∈ R. Then, the set of all x ∈ R, where the function h(x)=(f o ...

Human Calculator Solves World’s Longest Math Problem #shorts

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Q) Let 𝑓(𝑥)+2𝑓(1/𝑥)=𝑥^2+5 and 2𝑔(𝑥)−3𝑔(1/2)=𝑥 . If 𝛼=∫_1^2 𝑓(𝑥)𝑑𝑥, and 𝛽=∫_1^2 𝑔(𝑥)𝑑𝑥, the

Find the domain and range of f(x)=√2-x