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

answer: asdfghjkl,mnbv

step-by-step explanation:

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.