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Let f:[1//2, infty)rarr[3//4, infty) whe...

Let `f:[1//2, infty)rarr[3//4, infty)` where f(x)=`x^2-x+1`. Find the inverse of f(x). Hence or otherwise solve the equation, `x^2-x+1=1/2+sqrt(x-3//4)`

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PATHFINDER-FUNCTION-QUESTION BANK
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  3. Let f:[1//2, infty)rarr[3//4, infty) where f(x)=x^2-x+1. Find the inve...

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  4. Let g(x) be the inverse of f(x) and f'(x)=1/(1+x^3). Then find g'(x) i...

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  5. If the function f:R rarr A is given by f(x)=(e^x-e^(-|x|))/(e^x+e^(|x|...

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  6. Let f:R rarr R defined by f(x)= x^2/(1+x^2). Prove that f is neither i...

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  7. Let A=R-{3}, B=R-{1} and f: A rarr B defined by f(x)=(x-2)/(x-3). Is '...

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  13. Find the range of the following function f(x)=max{sinx, cosx}

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  14. Find the range of the following function f(x)=|x-1|+|x-2|,-1lexle3 is

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  15. Find the domain and range for f(x)=[log(sin^(-1)sqrt(x^2+3x+2))],

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