Function decomposition
given the composition h(x) = f(g(x))
if h(x) = (x + 5)8 and f(x) = x8, find the function g(x). i'm so confused!

Step-by-step explanation:

we have

we know that

The variable of the function f(g(x)) is equal to the function g(x)

so

f(x) -----> f(g(x))

x^{8} -----> (x+5)^{8}

The variable x becomes (x+5)

therefore

The function g(x) is equal to

the right system of equations to describe the situation would

be on the form:

x1 = 8000 + y1*t

and

x2 = 8000 + y2*t

where x1 and x2 represents the total money of imogene and her

friend respectively at the end of t years.

now for the value of amount earned, y1 and y2:

y1=8000*0.08

y2=2000*√(t-2)

answer:

it will cost 480 dollars to refurbish the larger wood floor

step-by-step explanation:

as it's a ratio of 4 that costs 384 dollars, divide the price by the ratio

384 / 4 = 96 dollars

96 dollars per unit of the ratio

now to get the price to refurbish the larger wood floor, times the price by the units

96 * 5 = 480