It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function and inverse of a function shown in the picture.

Checking for option (A):

$\rm f(x) = \dfrac{x}{4}+10 \ \ \ and \ \ \ g(x) = 4x -10$

Taking f(x):

$\rm f(x) = \dfrac{x}{4}+10$

To find the inverse of a function interchange the x and y variables:

f(x) → x

x → g(x)

$\rm x = \dfrac{g(x)}{4}+10$

Solving:

4x = g(x) + 10

g(x) = 4x - 10

Similarly, we can find the inverse of a function.

Thus, option (A) represents the function and its inverse of a function option (A) is correct.

Learn more about the function here:

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8 0

2 years ago

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PLEASE HELP !!!!!<br>Solve.<br>y +30 < 15<br><br>

Troyanec [42]

Hello there! y < -15

To solve, isolate y. To do this, subtract 30 from both sides of the equation.

y + 30-30 < 15-30

y < -15

This is your final answer. The statement is saying that y must be less than -15 when you add 30 to it for your final answer to be less than 15.

I hope this was helpful and have a great rest of your day! :)

5 0

3 years ago

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