Question 552483
The quadratic function f is defined by f(x) = {{{4x^2 +5x +2}}}

a) Find the set of values of k for which the equation  {{{f(x) = kx + 1}}} has real roots.
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kx + 1 has real roots for all x ?? How is this related to the quadratic?
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b) Find the coordinates of the turning point of {{{y = f(x)}}}, stating whether it is a maximum or a minimum point.
The coefficient of the x^2 is >0 --> minimum
The Line of Symmetry is x = -b/2a = -5/8
The min is at (-5/8,f(-5/8))
= (-5/8,-7/16)
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c) Hence, state the maximum value of {{{1/(f(x))}}}
For 1/(4x^2 +5x +2)
Max = 2 2/7
Not sure that's what you meant to ask