MATHEMATICS HIGH SCHOOL

What is the inverse of the function y = 4x + 5?

Answers

Answer 1
Answer:

The inverse of the function y = 4x + 5 is f^(-1)(x) = (x-5)/(4)

The given function is:

y = 4x  +  5

To find the inverse of the given function y = 4x  +  5, follow the following steps:

Make x the subject of the formula:

y = 4x + 5\n\n4x = y - 5\n\nx = (y)/(4)-(5)/(4)

Replace x by f^(-1)(x) and replace y by x.

The resulting function represents the inverse of the function y = 4x  +  5

f^(-1)(x)=(x)/(4)-(5)/(4)

Which can be further simplified as:

f^(-1)(x) = (x-5)/(4)

The inverse of the function y = 4x + 5 is f^(-1)(x) = (x-5)/(4)

Learn more here: brainly.com/question/12220962
Answer 2
Answer:

Answer:

y = 1/4 x - 5/4

Step-by-step explanation:

y = 4x + 5

Switch x and y.

x = 4y + 5

Solve for y.

4y = x - 5

y = 1/4 x - 5/4

Related Questions

What is 4÷ 3/5?66 2/56 2/38 which is the correct answer​
Which steps should be followed to write an equivalent ratio to find 2% of 6700? Write 2% as the ratio StartFraction 200 Over 100 EndFraction. Write the equivalent ratio StartFraction question mark Over 6700 EndFraction. (100)(67) = 6700, so (20)(67) = 1340. Write 2% as the ratio StartFraction 20 Over 100 EndFraction. Write the equivalent ratio StartFraction 6700 Over question mark EndFraction. (20)(335) = 6700, so (100)(335) = 33,500. Write 2% as the ratio StartFraction 2 Over 100 EndFraction. Write the equivalent ratio StartFraction question mark Over 6700 EndFraction. (100)(67) = 6700, so (2)(67) = 134. Write 2% as the ratio StartFraction 2 Over 100 EndFraction. Write the equivalent ratio StartFraction question mark Over 6700 EndFraction. (100)(6.7) = 6700, so (20)(6.7) = 13.4
(please help me out D: ) (I screenshot the question and answer)
How many fourths are equivalent to 2/8
5.Twenty-four dogs are in a kennel. Twelve of the dogs are black, six of the dogs haveshort tails, and fifteen of the dogs have long hair. There is only one dog that is black witha short tail and long hair. Two of the dogs are black with short tails and do not have longhair. Two of the dogs have short tails and long hair but are not black. 6 dogs are onlyblack. How many dogs are black with long hair but do not have short tails. How manyhave only Long hair?

Natasha spent 1\dfrac121 2 1 ​ 1, start fraction, 1, divided by, 2, end fraction hours on the beach. She fell asleep for \dfrac34 4 3 ​ start fraction, 3, divided by, 4, end fraction of the time she was on the beach and then woke up with a terrible sunburn. How many hours was Natasha asleep on the beach?

Answers

Answer:

1 and 1/8 hours or

Step-by-step explanation:

Natasha spent one and a half hours on the beach, which can be rewritten as 3/2 hours. Out of that time, she spent 3/4 sleeping. The total time she spent sleeping on the beach is determined by the product of the amount of time she spent on the beach by the fraction of that time she spent asleep:

T=(3)/(2) * (3)/(4)\nT=(9)/(8) \nT=1 + (1)/(8)

Natasha was asleep on the beach for 1 and 1/8 hours or 1 hour 7 minutes and 30 seconds.

Which property is used? (4+3)+2=4+(3+2)

Answers