If f(x) = x - 3, which of the following is the inverse of f(x)? O A. f-'(x) = x-3
O B. f-'(X) = x + 3
O c. f-'(X= 3x
O D. f-'(x) = 3 - x

B. f^-1(x) = x+3

Step-by-step explanation:

Given the function f(x) = x-3, to get its inverse, the following steps mist be followed.

First we will make y = f(x)

y = x-3

Then we will make x the subject of the formula to have:

y+3 = x-3+3

y+3 = x

x = y+3

Finally, we will replace back y with x to have:

y = x + 3

f^-1(x) = x+3

This gives the inverse of the function.

the answer is 31.27mph

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)