Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x2 + 1. compute the following.
1. f(g(-1)) 2. f o h(3) 3. g(f(-5))
4. h(f(x)) 5. f(f(x)) 6. h o g(x)
ii. let f(x) = 9 – x , g(x) = x2 + 4, and h(x) = x – 2. compute the following:
7. g(f(12)) 8. f(g(2)) 9. h(f(x))
iii. let g(x) = 4x + 1 represent the conversion from spots to stars. let h(x) = x2 - 2
represent the conversion from stars to asteroids. create a composite function that converts
spots directly to asteroids.
iv. let k(x) = x - 1 represent the conversion from toes to moles. let p(x) = 2x + 3
represent the conversion from moles to rolls. create a composite function that converts toes
directly to rolls.
i'd appreciate the . if you don't want to give me answers, teach me how to do them.

2 5/8 is the final answer! : )

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12