How to do some of Mathematics?

Question

(1) If f(x)=x(x+1)，find the values of
(a) 2f(-4) (b)f(2)+〔f(-3)〕^2
(2) If f(x)=x^2+ax+2 and f(3)=20，find the value of a
(3)If H(x)=4x^2-8x+1，find the values of
(a) H(0) (b)H(p-2)
(4)It is given that f(x)=2(x+m)and g(x)=x+m.If f(8)=6g(4)，find the value of m

Answer 1

(1)
(a) 2f(-4)=2(-4)(-4+1)=2(-4)(-3)=24
(b) f(2)+[f(3)]^2=2(2+1)+[-3(-3+1)]^2=6+36=42
(2) 3^2+3a+2=20 => 11+3a=20 => 3a=9 => a=3
(3)
(a) H(0)=1 (always take last coefficient to get value at 0)
(b) H(p-2)=4(p-2)^2-8(p-2)+1 =
4(p^2-4p+4)-8p+16+1=4p^2-24p+33
(4) 2(8+m)=6(4+m) =>
16+2m=24+6m =>
-8=4m => m=-2

Answer 2

These are just substitution problems.
1) a) substitute -4 for x and multiply by 2
2f(-4) = 2[-4(-4+1)] = 2[12] = 24

They should be pretty easy

Answer 3

Hmmm, I love these trick questions.. Everyone knows M has no value. Well maybe in the metric system,, you know 1000 big ones

Answer 4

Oh, gosh. These questions are easy. You need to take sometime to work on it. Work a little harder and you'll be able to solve it. Don't be a sloth.

Good luck trying it!

Answer 5

c'mon, that's easy. just take the time to do it.. it'll only take a minute or two.

Answer 6

Integral e^x = Sex

Answer 7

(5) D() (Y()ur) ()vvn H()m3vv()rk