11, a function is defined by f(x) = 3x +4.
(a) given that f(k)=k, find k. (b) find the inverse of f.

see explanation

Step-by-step explanation:

(a)

Given f( x) = 3x + 4 then to find f(k) substitute x = k into f(x), that is

f(k) = 3k + 4

Now f(k) = k, thus

3k + 4 = k ( subtract 4 from both sides )

3k = k - 4 ( subtract k from both sides )

2k = - 4 ( divide both sides by 2 )

k = - 2

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(b)

let y = f(x) and rearrange making x the subject

y = 3x + 4 ( subtract 4 from both sides )

y - 4 = 3x ( divide both sides by 3 )

= x

Change y back into terms of x, thus

(x) =

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

a

step-by-step explanation:

the answer is a