Given the following functions:

f(x)=x2
g(x)=x−3

find the composition of the two functions and show your process:

f(g(x))

*** caution: this is different from
g(f(x))

2. given the following functions:

f(x)=x2
g(x)=x−3

find the composition of the two functions and show your process:

g(f(x))

caution: this is different from
f(g(x))

3. if the composition of two functions is:

1x−3

what would be the domain restriction? describe how you found that answer.

1) and  are not equal

ie,

2) The domain is x

Step-by-step explanation:

Given functions are and

now find the composition of two functions verify that

now find the composition of  

now find the composition of  

Comparing the above two compositions we get

and   are not equal

ie, .

2) Given that the composition of two function is x-3

Let the functons be f(x) and g(x)

so the composition of two function  

it may be written as

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

the least common denominatore of 7 and 2 is 9

step-by-step explanation:

7+2=9