\begin{aligned} f(x)&=|x| g(x)&=|x - 4| - 4 \end{aligned} f(x) g(x) =∣x∣ =∣x−4∣−4 We can think of ggg as a translated (shifted) version of fff.

It is proved that .

Step-by-step explanation:

Given functions are,

To show,

Consider,

now if,

then

then

Hence the reslt.

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!