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nevsk [136]
3 years ago
7

Which function is the inverse of f(x) = –5x – 4?

Mathematics
1 answer:
Finger [1]3 years ago
7 0

Answer:

f^(-1)(x) = \frac{-1}{5} (x+4)

Step-by-step explanation:

Given is a function

f(x) = -5x-4\\

To find its inverse.

We must check whether f is one to one or onto first

If -5x1-4 = -5x2-4 we get x1=x2

Hence f is one to one

Also for every f(x) we can find a x so f is onto.

So inverse exists

Let

y=-5x-4\\-5x=y+4\\x=\frac{-1}{5} (y+4)

Replace x by f inverse and y by x

f^(-1)(x) = \frac{-1}{5} (x+4)

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C. What is f (-5)?<br> When the function is f(x) =-3x+7
bazaltina [42]

Answer:

f(-5) = 22

Step-by-step explanation:

f(x) =-3x+7

Let x = -5

f(-5) =-3*-5+7

      = 15 +7

       =22

5 0
3 years ago
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Stolb23 [73]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
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12345 [234]

Answer:

100\pi

Step-by-step explanation:

Total Surface Area of cylinder = Lateral Surface Area + Area of both circle bases.

Lateral Surface Area = Circumference of Circle \times Height

Lateral Surface Area = (\pi \times2\times5) \times 5=50\pi

Area of one circle base: \pi (5)^{2} =25\pi

Area of both circle bases: 25\pi \times2=50\pi

Total Surface Area = 50\pi +50\pi =100\pi

7 0
3 years ago
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Please help 25 points and brainliest
-BARSIC- [3]

Answer:

1a. 8

1b. AB & BC

1c. AC

2. \sqrt{52} miles

3. NO

Step-by-step explanation:

1a. AC is your hypotenuse which is C² and BC is B², so we plug it in the equation.

A²+6²=10²

A²+36=100

A²=64

A=\sqrt{64}

A=8

1b. Legs are the two shorter sides, AB & BC, which are 6 & 8 respectively.

1c. The hypotenuse is the longest side AC

2. Make lines that make the graph for a triangle with a line. My graph is linked below. Then counts the points, AC=6, BC=4, then use the pythagorean therom.

6²+4²=X²

36+16=52

\sqrt{52}=X

3. 15²+17²=19²

514=361

not possible

so it is not a right triangle

7 0
3 years ago
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lara [203]

F=\{\ x\ |\ x

F ∪ H is defined as the set that consists of all elements belonging to either set F or set H (or both).

F ∩ H is defined as the set composed of all elements that belong to both F and H

4 0
3 years ago
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