Let f(x) be y.
y = x³ + 3
Switch x and y:
x = y³ + 3
Now you need to isolate y and you would get inverse function.
x - 3 = y³
∛(x-3) = y
Final answer: f ⁻¹(x) = ∛(x-3)
Hope this helps.
Answer:
10
Step-by-step explanation:
Begin with writing down your problem. For example, you want to divide 1284 by 14.
Decide on which of the numbers is the dividend, and which is the divisor. The dividend is the number that the operation is performed on - in this case, 1284. The divisor is the number that actually "does the work" - in this case, 14.
Perform the division - you can use any calculator you want. You will get a result that most probably is not an integer - in this example, 91.7142857.
Round this number down. In our example, you will get 92.
Multiply the number you obtained in the previous step by the divisor. In our case, 92 * 14 = 1294.
Subtract the number from the previous step from your dividend to get the remainder. 1284 - 1294 = 10.
You could apply a clever Algebra trick to avoid using the quotient rule,


and apply power rule into chain rule from that point.
But this problem was likely designed to teach you about quotient rule so let's do it that way.
Let's start by "setting up" our quotient rule:

If this log notation is not intended to be natural log, then we'll have a little bit of extra work. Our change of base identity allows us to rewrite log base 10 in terms of the natural log,

so let's apply this to our problem,

Derivative of ln(x) gives us 1/x in each case,

Factor the 1/(x ln10) out of each term in the numerator,

and combine like-terms,

Lemme know if you're confused with any of the steps.
So the ratio 3:9 can be added together to make twelve. Add the number set together 3 times to get 36. Now you have 3+9 3+9 3+9. 3=blue so you will need nine blue pens and 27 red pens.
Answer:
3/4 of the area of the circle is of
squared units.
Step-by-step explanation:
Equation of a circle:
The equation of a circle has the following format:

In which the center is
and r is the radius.
Area of a circle:
The area of a circle of radius r is given by:

Circle (x+2)² + (y-5)² = 64
Comparing with the standard equation, we have that:

Area of the circle:

What is 3/4 of its area?

3/4 of the area of the circle is of
squared units.