Let \( f:(0,2) \rightarrow R \) be defined as \( f(x)=\log _{2}\left(1+\tan \left(\frac{\pi x}{4...

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Let f : R β†’ R and g : R β†’ R be two functions defined by f (x) = loge(x2 + 1) - e-x +1 and g(x). Then Let f : R β†’ R and g : R β†’ R be two functions defined by f (x) = loge(x2 + 1) - e-x +1 and g(x). Then
Let \( f, g: R \rightarrow R \) be functions efined by \[ \begin{array}{l} f(x)=\left\{\begin{ar... Let \( f, g: R \rightarrow R \) be functions efined by \[ \begin{array}{l} f(x)=\left\{\begin{ar...
For x ∈(0, 3/2), let f(x)=√(x), g(x)=tan x and h(x)=1-x^2/1+x^2. If Ο•(x)=(( hof ) ∘ g)(x), then Ο•... For x ∈(0, 3/2), let f(x)=√(x), g(x)=tan x and h(x)=1-x^2/1+x^2. If Ο•(x)=(( hof ) ∘ g)(x), then Ο•...
This chapter closes now, for the next one to begin. πŸ₯‚βœ¨.#iitbombay #convocation This chapter closes now, for the next one to begin. πŸ₯‚βœ¨.#iitbombay #convocation
Let f:(-1,1) β†’ R be such that f(cos 4 ΞΈ)=2/2- ^2ΞΈ for θ∈(0, Ο€/4) βˆͺ(Ο€/4, Ο€/2). Then, the value(s) ... Let f:(-1,1) β†’ R be such that f(cos 4 ΞΈ)=2/2- ^2ΞΈ for θ∈(0, Ο€/4) βˆͺ(Ο€/4, Ο€/2). Then, the value(s) ...
If \( a+\alpha=1, \beta+b=2 \) and a \( f(x)+\alpha f\left(\frac{1}{x}\right)=b x+\frac{\beta}{x... If \( a+\alpha=1, \beta+b=2 \) and a \( f(x)+\alpha f\left(\frac{1}{x}\right)=b x+\frac{\beta}{x...
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