$\text{Consider the function}\\
\\
f(x)=6x^3-3\\
\\
\text{let }y=f(x), \text{ so we have}\\
\\
y=6x^3-3\\
\\
\text{now in order to find the inverse of the function, first we interchange x and y}\\
\text{so we get}\\
\\
x=6y^3-3$

$\text{now we will solve for y again and that will give the required inverse function.}\\
\text{so first we add 3 both sides to get}\\
\\
x+3=6y^3\\
\\
\text{now divide both sides by 6 to get}\\
\\
\frac{x+3}{6}=y^3\\
\\
\text{now take cube root both sides to get}\\
\\
\sqrt[3]{\frac{x+3}{6}}=\sqrt[3]{y^3}$

$\Rightarrow \sqrt[3]{\frac{x+3}{6}}=y\\
\\
\Rightarrow y=\sqrt[3]{\frac{x+3}{6}}\\
\\
\text{hence the inverse of the function is: }\\
\\
f^{-1}(x)=\sqrt[3]{\frac{x+3}{6}}$

4 0

3 years ago

Read 2 more answers

Anybody know the answer

omeli [17]

Answer:

Opposite / Adjacent

Step-by-step explanation:

The tangent ratio is the value received when the length of the side opposite of angle theta is divided by the length of the side adjacent to angle theta.

Hope it will help :)❤

5 0

2 years ago

the sales tax for the food Jordan bought is 0.87 she has a coupon for 1.75 off any purchase use your answer for exercise 16 to f

krok68 [10]

Related to ur last question......food totaled 17.42

17.42 - 1.75 = 15.67...this is with the coupon added
15.67 + 0.87 = 16.54....this is the final total....with tax included

so ur answer is 16.54

3 0

3 years ago

Read 2 more answers

your FICA taxes need to be calculated so they can be deducted.The Social Security tax rate is 6.2% to a maximum taxable income o

LenKa [72]

Answer:

Multiply the income by 0.0765. In the instance of $142,800 it'd be $10924.20

Step-by-step explanation:

1.45+6.2

8 0

2 years ago