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Lorico [155]
3 years ago
6

What is the inverse of f(x) = 4x + 2?

Mathematics
1 answer:
umka21 [38]3 years ago
7 0

Answer:

The inverse is (x-2)/4

Step-by-step explanation:

f(x) = 4x+2

y =4x+2

Exchange x and y

x = 4y+2

Solve for y

Subtract 2 from each side

x-2 = 4y+2-2

x-2 = 4y

Divide each side by 2

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

(x-2)/4 =y

The inverse is (x-2)/4

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The rate charged per hour by each mechanic was:  x = 75 $ / hr and y = 115 $ / hr.

<h3>What is a system of equations?</h3>

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given;

The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours.

Together they charged a total of $3225.

For this case we have the following variables:

x be the amount of $ / hr that the mechanic obtains 1.

y be the amount of $ / hr obtained by mechanic 2.

An equation to express this would be:

x + y = 190

20x + 15y = 3225

Solving the system of equations we have:

20x + 15(190 -x) = 3225

20x + 2850 - 15x = 3225

5x = 375

x = 75

simililary

y = 190 - x

y = 115

Hence, the rate charged per hour by each mechanic was:

x = 75 $ / hr

y = 115 $ / hr

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