Algebra

Okay i have a few function questions im gonna post. Im completely confused with these so any help would be great.

Minimum or maximum value of:
f(x)=2x^2+4x+1
and
f(x)=x^2-3x+2

then

if f(x)=x^2+9 and g(x)=x-4,
find (g*!@#$%^&3)

next is

if f(x)=x^3+x^2-x-1 and g(x)=x+1,
find (f/g)(n)

and the possible solutions to the problem are

A) n^2-x-1
B) (n^2+x-1/n+1)
C) n+1
D) n^2-1

and last, find the zeroes of
f(x)=2x^2-10

thanks for any help!

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asked by Colin
  1. << find the zeroes of
    f(x)= 2x^2-10 >>

    f(x) = 2(x^2 -5)
    = 2(x + sqrt 5)(x - sqrt 5)
    When either of the x-containing factors is zero, f(x) is zero.

    <<Minimum or maximum value of:
    f(x)=2x^2+4x+1
    and .. >>
    Since you aren't taking calculus and presumably do not know about deriviatives, I suggest you use the method of "completing the square"
    f(x)= 2(x^2 + 2x) + 1
    = 2 (x^2 + 2x + 1) -1
    = 2(x+1)^2 -1
    It should be evident that this will be have a minimum when x+1 = 0. That tells you what x is there.

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    posted by drwls

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