Manish writes the functions g(x)= 3 sqrt -x - 72 and h(x) = -(x + 72)^3 Which pair of expressions could Manish use to show that g(x) and h(x) are inverse functions?

Step-by-step explanation:

Given

Required

Show that they are inverse functions

For g(x) and h(x) to be inverse, then:

We have:

Replace x with h(x)

Substitute value for h(x)

Similarly;

Replace x with g(x)

Substitute value for g(x)

Recall that:

So:

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