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Given the function f(x)=(x+1) (x-1) Fi...

Given the function `f(x)=(x+1) (x-1)`
Find `f(2x), 2f(x), f(x^(2)), [f(x)]^(2)`.

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IA MARON-INTRODUCTION OF MATHEMATICAL ANALYSIS-Function. Domain of Definition
  1. Given the function f(x)=(x+1) (x-1) Find f(2x), 2f(x), f(x^(2)), [f(...

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  2. Give the function f(x)=(x+1) (x^(3)-1). Find f(-1),f(a+1), f(a)+1.

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  3. Given the function f(x)=x^(3)-1. Find (f(b)-f(a))/(b-a) (b ne a) and f...

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  4. Given the function f(x)={{:(,3^(-x)-1, -1 le x lt 0),(,tan (x//2), 0 l...

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  5. The function f(x) is defined over the whole number scale by the follow...

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  6. Calculate f(x)=(49)/(x^(2))+x^2 at the points for which 7/x+x=3

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  7. Find a function of the form f(x)=ax^(2)+bx+C. If it is known that f(0)...

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  8. Find a function of the form f(x)=a+bc^(x) (c gt 0) if f(0)=15, f(2)=...

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  9. Given the function f(x)=(5x^(2)+1)/(2-x) Find f(3x), f(x^(3)), 3f(x)...

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  10. Let f(x)={{:(,3^x,at,-1lt x lt0),(,4,at,0 le x lt 1),(,3x-1, at,1 le x...

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  11. Prove that if for an exponential function y=a^x (a gt 0, a ne 1) the v...

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  12. f(x)=x^(2)+6, omega (x)=5x. Solve the equation f(x)=|omega (x)|.

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  13. Find f(x) if f(x+1)=x^(2)-3x+2

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  14. Evaluate the functions f(x)=x^(2)+1/x^(2) and phi(x)=x^4+1/x^4 for t...

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  15. f(x)=x+1, omega (x)x=x-2, solve the equation |f(x)+phi(x)|=|f(x)|+|o...

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  16. A rectangle with altitude x is inscribed in a triangle ABC with the ba...

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  17. Find the domains of definaton of the following functions: (a) f(x)=s...

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  18. Find the domains of definaton of the following functions: (a) f(x)=s...

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  19. Find the domains of definition of the following functions: (a) y=(2x...

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  20. The function f(x) is defined on the interval (0,1). What are the domai...

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