Given: f(x) = x2, g(x) = x + 6, h(x) = 7
Find f(g[h(x)]).
55
169
26

169

Step-by-step explanation:

f(x) = x^2, g(x) = x + 6, h(x) = 7

f(g[h(x)])

Replace h(x) with 7

f(g(7))

g(7) = 7+6 = 13

Replace g(7) with 13

f(13) = 13^2 = 169

169

Step-by-step explanation:

We are asked to find:

f(g[h(x)])

We know that  f(x) = x^2, g(x) = x + 6, and h(x) = 7

Therefore, we can begin by substituting 7 for h(x)

 f(g[h(x)]), h(x)=7

f(g[7])

Now, we must find g(7). We know that g(x) is x+6

g(x)=x+6

We want to find g(7). Plug 7 in for each x.

g(7)=7+6

Add 7 and 6

g(7)=13

Substitute 13 in for g(7)

f(g[7])

f(13)

Finally, find f(13). We know that f(x)=x^2

f(x)=x^2

We want to find f(13). Plug 13 in for each x.

f(13)=13^2

13^2= 13*13= 169

f(13)=169

169

Therefore, f(g[h(x)]) is 169

why do wages differ across industries

step-by-step explanation :

micro economists are concerned with economics on an industry or individual firm basis.

macro economists are concerned with national and international level

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