Find the inverse of each of the given functions.

Mathematics

2 answers:

Leona [35]3 years ago

6 0

Answer:

The inverse of the function is (3x+4)/2

Step-by-step explanation:

To find the inverse, exchange x and y and then solve for y

y = (2x-4) /3

Exchange x and y

x = (2y-4)/3

Solve for y

Multiply each side by 3

3x = (2y-4)/3 *3

3x =2y-4

Ad 4 to each side

3x+4 = 2y-4+4

(3x+4) =2y

Divide each side by 2

(3x+4)/2 =2y/2

(3x+4)/2 = y

The inverse of the function is (3x+4)/2

vladimir1956 [14]2 years ago

6 0

Answer:

first one on edg-

1/4, 3

Step-by-step explanation:

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Step-by-step explanation:

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4 0

3 years ago

A cliff forms an angle of x∘ with a lake. If you stand on the edge of the cliff and throw a rock at a distance of 48 ft to the w

klemol [59]

Answer:

∅=6°

Step-by-step explanation:

we have that the distance from the edge of the cliff to the lake is 48 feet, and when the stone is thrown into the lake it collides with the water 5 feet from the base of the cliff so you must find the distance that the stone travels from the edge of the sewer up to 5 feet beyond its base (hypotenuse) and then the angle that forms it (slope)

Hypotenuse (c)

$c^{2}=a^{2}+b^{2}\\c^{2}=48ft^{2}+5ft^{2}\\c^{2}=2304ft^{2} +25ft^{2}=2329ft^{2}\\c=\sqrt{2329ft^{2}}=48.25ft$ :