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3 years ago

Given the following functions f(x)

Mathematics

1 answer:

liq [111]3 years ago

6 0

<h3>Answer: x</h3>

============================================

Work Shown:

$g(x) = \frac{(x-1)^2}{3}\\\\g(f(x)) = \frac{(f(x)-1)^2}{3}\\\\g(f(x)) = \frac{(1+\sqrt{3x}-1)^2}{3}\\\\g(f(x)) = \frac{(\sqrt{3x})^2}{3}\\\\g(f(x)) = \frac{3x}{3}\\\\g(f(x)) = x\\\\$

The idea is to start with g(x) and then replace every x with f(x). From there you plug in f(x) = 1+sqrt(3x) and simplify.

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Marizza181 [45]

Answer:

Step-by-step explanation:

13+-8-(-5)+10

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3 years ago

Solve: 4x-4=2(×-1)-4y+2y. show some work please:))

Papessa [141]

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3 years ago

Find the total number of degrees in a polygon with 13 sides

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45

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3 years ago

On January 1, 2017, Shay issues $700,000 of 10%, 15-year bonds at a price of 97¾. Six years later, on January 1, 2023, Shay reti

White raven [17]

Answer:

Loss on retirement is $8190

Step-by-step explanation:

In order to determine the gain or loss on the retirement of the 20% of the bonds,one needs to know the book value of the bonds retired.

First,we calculate the book value of the entire bond as follows

Initial carrying value=$700,000*97.75%=$ 684,250.00

Initial discount on bonds issue=face value -issue price

=$700,000-$684,250

=$15750

Discount amortized over 6 years out of 15 years=15750 *6/15=$6300

Unamortized discount==$15,750 -$6300=$9450

The book value of the bond now=face value-unamortized discount

=$700,000-$9450 =$690,550

book value of 20% bonds=$690550 *20%=$138,110

cash paid for retirement=$700,000*20%*104.5%=$146,300

loss on retirement=$146,300-$138,100=$8190

8 0

3 years ago

What is the largest number you can form from the numbers $2,5,8,9,10$ and the operations $\times,+,+,-$, and exactly one pair of

Levart [38]

Answer:

The largest number is 218.

Step-by-step explanation:

The given numbers are 2,5,8,9,10, given operations are ×,+,+,- and exactly one pair of parentheses.

We need to find the largest number which can be form by using given information.

We know that multiplication of two lager numbers is greater than their addition.

We need to multiply 10 and sum of 9,8,5. To get the largest number we have subtract the smallest number.

So, the largest possible number is defined by the expression

$10\times (9+8+5)-2$

$10\times (22)-2$

$220-2$

$218$

Therefore, the largest number is 218.

6 0

3 years ago