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2 years ago

What is f−1(f(x)) = f(f−1(x)) = equal to????? please help

1 answer:

wel2 years ago

6 0

the assumption here is that the function f(x), has an inverse function of f⁻¹(x), so let's assume that is indeed the case, f⁻¹(x) is the inverse function of f(x).

for functions and their inverse, if they're indeed inverse of each other, then

f⁻¹( f(x) ) = x

f( f⁻¹(x) ) = x.

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Colin & Brian share a lottery win of £2100 in the ratio 4 : 1. Colin then shares his part between himself, his wife & th

Paraphin [41]

Answer:

His wife gets $336 more than his son.

Step-by-step explanation:

Colin and Brian:

Ratio of 4:1.

So Colin gets $\frac{4}{4+1} = \frac{4}{5}$ of the prize.

$\frac{4*2100}{5} = 1680$

Colin got $1680. Dividing between himself, his wife and their son:

Ratio of 2:5:3.

So Colin gets $\frac{2}{2+3+5} = \frac{2}{10}$ , his wife gets $\frac{5}{2+3+5} = \frac{5}{10}$ and his son gets $\frac{3}{2+3+5} = \frac{3}{10}$

Wife:

$\frac{5*1680}{10} = 840$

His wife got $840.

Son:

$\frac{3*1680}{10} = 504$

His son got $504.

How much more does his wife get over their son?

840 - 504 = 336

His wife gets $336 more than his son.

8 0

2 years ago

If gas cost $1.35 per gallon and Jose has $81 budgeted for gasoline, what os the maximum distance in miles he can travel if his

MA_775_DIABLO [31]

So you times 1.35 by 60 and It gives you 81 so its 60 times 34 = 2040

3 0

3 years ago

How much would $300 invested at 4% interest compounded monthly be

Anna11 [10]

Answer:

$412.92

Step-by-step explanation:

You are going to want to use the compound interest formula, which is shown below.

$A=P(1+\frac{r}{n} )^{nt}$

P = initial balance

r = interest rate

n = number of times compounded annually

t = time

The first step is to change 4% into its decimal form:

4% -> $\frac{4}{100}$ -> 0.04

Now plug in the values:

$A=300(1+\frac{0.04}{12})^{(12)8}$

$A=412.92$

It would be worth $412.92

8 0

2 years ago

KiRa [710]

Answer:

B. The probability of getting a red convertible is 0.10.

Step-by-step explanation:

Independent events:

Two events, A and B, are independent if the probability of both happening is the same as the multiplication of the probabilities of each happening, that is:

$P(A \cap B) = P(A) \times P(B)$

In this question:

Event A: Red car -> 0.25 probability

Event B: Convertible car -> 0.4 probability

Independent if:

The probability of getting a red convertible car is:

$P(A \cap B) = P(A) \times P(B) = 0.25*0.4 = 0.1$

Thus, the correct answer is given by option B.

5 0

2 years ago

Which equation is true for the value b=2a. 2b+24=30b. 3b-2=4c. b+4=8d. 2b-3=0

Ad libitum [116K]

3(2)-2=4, the second is true. the answerb is b

6 0

6 months ago