Drag each tile to the correct box. not all tiles will be used. arrange the equations in the correct sequence to find the inverse of f(x)=y=3x/8+x

Step-by-step explanation:

f(x) = y = 3x/(8 + x)   (I am assuming that the 8 + x is the denominator. Please use parentheses in the future if you forgot this. If there are no parentheses, then my solution will not work for you.)

Exchange x and y; that is, replace x by y and y by x simultaneously:

x = 3y/(8 + y).

Then use algebra to solve for y in terms of x:

(8 + y)x = 3y    (multiply both sides by the denominator to clear the fraction)

8x + xy = 3y     (distribute)

xy − 3y = −8x     (rearrange terms with all y's on the left side of the equation)

y(x − 3) = −8x    (factor out y as a common factor)

y = −8x/(x − 3)    (divide by x − 3)

Finally, replace y by f-1(x):

f-1(x) = −8x/(x − 3).

This is the inverse of f(x). It can be checked by finding f(f-1(x)) and f-1(f(x)), and verifying that both equal x after simplifying.

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