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If f(x)ge0 for all x, then f(2-x) is...

If f(x)`ge0` for all x, then f(2-x) is

A

`ge-2`

B

`ge0`

C

`ge2`

D

`le0`

Text Solution

Verified by Experts

The correct Answer is:
B
The f(2-x) just shifts and reflects the graph horizontally, it does not have any vertical effect on the graph. Therefore, regardless of what is substituted for x, f(x)ge0`. [12]
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ENGLISH SAT-MODEL TEST 4-MCQ
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  2. If f(x)=log(x+1), what is f^(-1)(3) ?

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  8. If logr 3=7.1, then logrsqrt3=

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  9. If f(x)=4x^2 and g(x) =f(sin x)+f(cos x), then g(23^(@)) is

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  10. What is the sum of the roots of the equation (x-sqrt2)(x^2-sqrt3x+pi)=...

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  11. Which of the following equations has (have) graphes consisting of two ...

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  12. If f(x)=(4-x)^2 and g(x)=sqrtx, then (g o f) (x)=

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  13. In the figure above, if VO=VY, what is the slope of segment VO?

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  14. A cylindrica bar of metal has a base radius of 2 and a height of 9. It...

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  15. The graph of y=(x+2)(2x-3) can be expressed as a set of parametric equ...

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  16. The inverse of y=(2x+1)/(3-x)is

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  17. Rent-a-Rek has 27 cars available for rental. Twenty of these are compa...

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  18. If a and b are real numbers, with a gtb and |a| lt|b|, then

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