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

for the first question it would be the second answer for the second question it would be the third answer and for the third question it would be the first answer

step-by-step explanation:

answer: 40.95

step-by-step explanation: