What is the inverse of the given relation y = 4x - 8

Mathematics

2 answers:

Ronch [10]2 years ago

8 0

To find the inverse of any function, switch the x's with y's and vice versa.

The current equation given is $y=4x-8$

Switch the $y$ with $x$ and switch the $x$ with $y$

After doing so, we'll have the following equation:

$x=4y-8$

Now, let's move the variables around so that y is isolated on the left side again.

Subtract both sides by 4y

$x-4y=-8$

Subtract both sides by x

$-4y=-8-x$

Divide both sides by -4

$y= \dfrac{x}{4}+2$

That is the answer.

Have an awesome day!

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erastova [34]2 years ago

3 0

Y=4/x+2 is the inverse of the relation

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2 years ago

Avaluate 2^3x-1 for x=1

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Answer:

4 or 7 (Check the explanation to see which one your equation actually is.

Step-by-step explanation:

One thing I want to clarify for you, It's Evaluate, not Avaluate.

Okay so, we want to find the value of 2^3x-1 and we know x = 1.

You didn't really clarify if the expression was $2^{3x-1}$ or $2^{3x}-1$ , so I'll be doing both:

For $2^{3x-1}$ , we should plug in x to get $2^{3(1)-1}$ and then simplify to get $2^{2}$ .

2 to the power of 2 or $2^{2}$ is equal to 2 * 2 or 4.

The second one, $2^{3x}-1$ , we should plug in x to get $2^{3(1)}-1$ and then to become $2^{3}-1$ . 2 to the power of 3 or $2^{3}$ is 8 and then minus 1 is 7.