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3 years ago

If F(x) = x-3, which of the following is the inverse of F(x)?

Mathematics

2 answers:

charle [14.2K]3 years ago

8 0

Answer:

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = x - 3 ( add 3 to both sides )

y + 3 = x

change y back into terms of x, then

$f^{-1}$ (x) = x + 3 → B

BigorU [14]3 years ago

4 0

Answer:

Step-by-step explanation:

Let y = x - 3

x = y + 3

f-1(x) = x + 3.

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20 POINTS!!! PLZ ANSWER!! On the moon, the time, in seconds, it takes for an object to fall a distance, d, in feet, is given by

scoundrel [369]

Answer:

Part a) $f(2)=1.57\ sec$

It takes 1.57 seconds for an object to fall a distance of 2 feet

Part b) see the explanation

Part c) $2,165.43\ sec$

Step-by-step explanation:

Let

f(d) -----> the time in seconds it takes for an object to fall

d -----> distance in feet

we have

$f(d)=1.11\sqrt{d}$

Part a): Determine f(2) and explain what it represents

we know that

f(2) represent the time in seconds it takes for an object to fall a distance of 2 feet

For $d=2\ ft$

substitute in the function above and solve for f(2)

$f(2)=1.11\sqrt{2}$

$f(2)=1.57\ sec$

therefore

It takes 1.57 seconds for an object to fall a distance of 2 feet

Part b) The imbrium basin is the largest basin on the moon. A reasonable domain for the height above the lowest point in the basin is given by {d|0 ≤ d ≤ 3805774}

What does this tell you about the basin?

The height of the basin is greater than or equal to 0 ft and less than or equal to 3,805,774 ft

The maximum height of the basin is 3,805,774 ft

Part c) How long would it take a rock to drop from the rim to the bottom of the basin?

we know that

The distance from the rim to the bottom of the basin is equal to the maximum height of the basin

$d=3,805,774\ ft$

substitute the value of d in the function f(d)

$f(d)=1.11\sqrt{3,805,774}$

$f(d)=2,165.43\ sec$

3 0

3 years ago

Corey gets paid $6 per hour to work at a snack stand. This weekend , he worked on both Saturday and Sunday. he made total of $48

Dahasolnce [82]

Answer:

5 hours

Step-by-step explanation:

1. Find out how many dollars he earned on Saturday

3 x 6 = 18

He earned 18 dollars on Saturday.

2. Subtract 18 from 48 since that is from Saturday, not Sunday

48 - 18 = 30

3. Divide 30 by 6 to see how many hours he worked on Sunday

30/6 = 5

6 0

3 years ago

A cyclist cycles a distance of 20 miles in a time of 2 hours.<br> What is her average speed?

Mamont248 [21]

20 miles/2 hours = 10 miles/1 hour, therefore her average speed is 10mph

3 0

3 years ago

Read 2 more answers

An isosceles triangle has a perimeter of 33 cm. The unequal side has a length 3 cm more than the equal side. Find the length of

grigory [225]

Answer:

let equal side=x

unequal side=x+3

perimeter =33

x+x+x+3=33

3x=30

x=10

x+3=10+3

6 0

3 years ago

What is the volume of a rectangular prism with a height of 6 m, a length of 4 m, and a width of 2 m?

Debora [2.8K]

Answer:

48m

Step-by-step explanation:

Formula: lwh

4*2*6=48m

6 0

3 years ago