Problem Solving (PS) | Re: If f(0.5) = 0, which of the following could be f(x)?

\( f(–0.5) =0\) and we need to find which of the following could be\(f(x)\)?

(A)\( 2x +2\)
x = -0.5
=> 2x + 2 = 2*-0.5 + 2 = 1 ≠ 0 =>FALSE

(B)\( 4x –2\)
=> 4*(-0.5) -2 = -2 - 2 = -4 ≠ 0 =>FALSE

(C)\( 4x^2 –1\)
=> 4*(-0.5)^2 - 1 = 1 - 1 = 0 =>TRUE

We do not need to solve further but solving to complete thesolution!

(D)\( x^2 –1\)
=>\( (-0.5)^2 -1\) = 0.25 - 1 = -0.75 ≠ 0 =>FALSE

(E)\( (–x)^2 –2.5\)
=>\( (-(-0.5))^2 -1\) = 0.25 - 1 = -0.75 ≠ 0 =>FALSE

So, Answer will beC
Hope ithelps!

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Statistics : Posted by BrushMyQuant • on 22 Jul 2019, 00:19 • Replies 3 • Views 2442

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