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Cloud [144]
3 years ago
12

Find the inverse of the function.

Mathematics
1 answer:
nikklg [1K]3 years ago
3 0
The equation that is given in this item can be mathematically expressed as,
    f(x) = (x/7)^(1/3) - 9

The expression f(x) can be replaced with y such that the equation can also be written as,
    y = (x/7)^(1/3) - 9

The first thing that needs to be done to get the inverse of the function is to interchange the positions of x and y. In this equation, that becomes,
   x = (y/7)^(1/3) - 9

Then, solve for the value of y in terms of x.
 Transpose the constant to the other side of the equation.
 x + 9 = (y/7)^(1/3)

Raise the whole equation by 3 in order to eliminate the radical.
  (x+9)³ = (y/7)
Multiply the equation by 7 to eliminate the fraction.
  (x+9)³(7) = y

Thus, the inverse of the function is equal to
<em>  f⁻¹(x) = 7(x+9)³

</em>
<em />The answer is letter B.<em>
</em>
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Elodia [21]
The height should be around 9.19 or 9.2 if you round it up.
(if you need an explanation as to why i would be happy to help as well!)
4 0
3 years ago
Read 2 more answers
Find the value of x. Round to the<br> nearest tenth.<br> 26<br> 12<br> х<br> X=<br> = [?]
levacccp [35]

Answer:

X = 5.9 (in degree mode)

Step-by-step explanation:

Do the following:

12(tan26) = X

Plugging this into a calculator, you will get:

X = 5.9 (in degree mode)

7 0
3 years ago
Colin has several bottles of water. Each bottle of water holds 3 cups. During the day, he drinks 7 cups of water. How many bottl
Natasha_Volkova [10]
Divide total cups he drank by the # of cups in each bottle.

7 ÷ 3= 2.3333

Since each bottle only holds 3 cups, he drank 3 bottles of water. He didn't drink all the water in the third bottle, but he started drinking the third bottle.

ANSWER: 3 bottles

Hope this helps! :)
4 0
3 years ago
Algebra 2 question need help.​
MrMuchimi

Answer: Choice C

h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5

===========================================

Explanation:

When reflecting the function f(x) over the y axis, we replace every x with -x and simplify like so

f(x) = -x^4 - 2x^3 + 3x^2 - 4x + 5

f(-x) = -(-x)^4 - 2(-x)^3 + 3(-x)^2 - 4(-x) + 5

f(-x) = -x^4 + 2x^3 + 3x^2 + 4x + 5

h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5

Note the sign changes that occur for the terms that have odd exponents (the terms -2x^3 and -4x become +2x^3 and +4x); while the even exponent terms keep the same sign.

The reason why we replace every x with -x is because of the examples mentioned below

-----------

Examples:

The point (1,2) moves to (-1,2) after a y axis reflection

Similarly, (-5,7) moves to (5,7) after a y axis reflection.

As you can see, the y coordinate stays the same but the x coordinate flips in sign from negative to positive or vice versa. This is the direct reason for the replacement of every x with -x.

4 0
3 years ago
2 5/8 as a rational number ??
arlik [135]

Answer:

It's already a rational number?

Step-by-step explanation:

A rational number is any number that can be written as a fraction/ratio, and 2\frac{5}{8} is certainly a fraction. If you meant 2\frac{5}{8} as a decimal, then it'd be 2.625.

6 0
3 years ago
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