Question 1
Given: f(x)=x2-1 and g(x) = 2x-5
Find: (gof)(x)

Step-by-step explanation:

So we have the two functions:

And we want to find:

This is the same as:

So, substitute f(x) into g(x). Thus:

Distribute the 2:

Subtract:

Therefore:

And we're done!

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet