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f(x)=x+1, omega (x)x=x-2, solve the equa...

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

Text Solution

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The correct Answer is:
`x le -1 or x ge 2`
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IA MARON-INTRODUCTION OF MATHEMATICAL ANALYSIS-Function. Domain of Definition
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  2. Given the function f(x)=x^(3)-1. Find (f(b)-f(a))/(b-a) (b ne a) and f...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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