Which pair of functions are inverses of each other?

Mathematics

1 answer:

Ira Lisetskai [31]2 years ago

3 0

Answer:

Step-by-step explanation:

f(x) = 10x - 5 → x = 10g(x) - 5 → x + 5 = 10g(x) →

g(x) = (x + 5)/10

You might be interested in

Need help please ASAP

aivan3 [116]

Answer:

B.)8ft

Step-by-step explanation:

Set up a proportional to the roof slope:

2/5 = x/20

Cross multiply:

40/5 = 5x/5

x=8ft

7 0

3 years ago

Read 2 more answers

The table shows the heights in inches of trees after they have been planted. Determine the equation which relates x and y.

fenix001 [56]

To get the that relates x and y, we choose two points on the table and use the equation of a straight line as follows:

Recall that the equation of a staight line is obtained from the formula
$\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}$

Using the points (30, 18) and (36, 24), we have
$\frac{y-18}{x-30} = \frac{24-18}{36-30}= \frac{6}{6} =1 \\ \\ \Rightarrow y-18=x-30 \\ \\ \Rightarrow y=x-30+18 \\ \\ \Rightarrow y=x-12$

8 0

3 years ago

If x^2+y^2=1, what is the largest possible value of |x|+|y|?

Marianna [84]

If x² + y² = 1, then y = ±√(1 - x²).

Let f(x) = |x| + |±√(1 - x²)| = |x| + √(1 - x²).

If x < 0, we have |x| = -x ; otherwise, if x ≥ 0, then |x| = x.

• Case 1: suppose x < 0. Then

f(x) = -x + √(1 - x²)

f'(x) = -1 - x/√(1 - x²) = 0 → x = -1/√2 → y = ±1/√2

• Case 2: suppose x ≥ 0. Then

f(x) = x + √(1 - x²)

f'(x) = 1 - x/√(1 - x²) = 0 → x = 1/√2 → y = ±1/√2

In either case, |x| = |y| = 1/√2, so the maximum value of their sum is 2/√2 = √2.

6 0

3 years ago

When a cylindrical tank is filled with water at a rate of 22 cubic meters per hour, the level of water in the tank rises at a ra

Sergeu [11.5K]

Answer:

$r=\sqrt{10}\text{ m}$

Step-by-step explanation:

We have been given that when a cylindrical tank is filled with water at a rate of 22 cubic meters per hour, the level of water in the tank rises at a rate of 0.7 meters per hour. We are asked to find the approximate radius of tank in meters.

We will use volume of cylinder formula to solve our given problem as:

$V=\pi r^2h$ , where,