Can someone please figure this out for me or at least explain this because im lost here Let f(x)=3x+2, g(x)=x3−3x2+2x+11, and h(x)=x2−3. Perform the following operations.

a) g(-2)=
b) h(-1)=
c) g(x) - h(x)=__x^3 +__x^2+__x+__
d) -2f(x) * h(x)= __x^3+__x^2+__x+__
e) f(h(x)) = __x^2+__x+__
f) f(g(x)) =__x^3+__x^2+__x+__

Step-by-step explanation:

the concepts are confusing of what a function is.   f(x)  seems mysterious , huh

it's just a way to give a label to some set of terms.  Just think of it as a name of a person, but in a generic sense, like   hey "guy"   or hey "gal"  you can address many people that way.  f(x) is doing that same thing addressing by a name,  a set of math terms.  

a)  

in a)  we are addressing the g(x) function and we are also sending that function the number -2 as an input. so find the g(x) function and put in (-2) everywhere that there is an "x" , so

g(x)=-3+2x + 11

g(-2) = -3+2(-2)+11

g(-2) = -8 -3(4) - 4 +11

g(-2) = -8 -12 -4 + 11

g(-2) = -24 + 11

g(-2) = -13

b)  

h(-1)  find the h(x) function and input a negative 1 where ever there is an x

h(x) =

h(-1) = - 3

h(-1) = 1 - 3

h(-1) = -2

c)

for c)  just combine like terms of the two given functions

g(x) - h(x)  =  -3+2x + 11 - ( - 3)

g(x) - h(x)  = -3+2x + 11 - + 3

g(x) - h(x)  = -4+2x + 14

d)

-2f(x) - h(x) = -2(3x + 2) - ( - 3)

-2f(x) - h(x) = -6x - 4 - + 3

-2f(x) - h(x) = -6x - 1 -

-2f(x) - h(x) = - - 6x - 1

e)

f(h(x))  this gets a bit more confusing b/c it's  a composition of functions,  that's just a fancy way of saying the functions are nested. one inside the other.

f(x) = 3x + 2

h(x) = - 3

plug h(x) in to f(x) where ever there is an x in f(x)   , luckily there is only one x in f(x)  :)

f(h(x)) = 3( - 3) + 2

f(h(x)) = 3 - 9 + 2

f(h(x)) = 3 - 7

f(h(x)) = 3 + 0x + (-7)  

f)

f(x) = 3x + 2

g(x) = -3+2x + 11

f(g(x)) = 3(-3+2x + 11) + 2

f(g(x)) = 3-9+6x + 33 + 2

f(g(x)) = 3-9+6x + 35

Hope that helps :)

black/brown

step-by-step explanation:

well, you see here, jamal was born to 2 parents, his mother who he lives with and his father who left at a young age and who happens to be younger than him. he stole cookies because he has to steal food due to the fact that he spends his government poverty checks on pot and women.