Mathematics, 26.06.2019 12:30 miagiancarlo
what would this be? the cool equation is y=2-x^3. i'm doing inverse functions.
Answers: 1
, and you're asked to find the inverse function 
. To do this, swap 
and 
, then solve for ![x=2-y^3\implies y^3=2-x\implies y=(2-x)^{1/3}=\sqrt[3]{2-x}](/tpl/images/0019/4581/eccdf.png)
![y^{-1}(x)=\sqrt[3]{2-x}](/tpl/images/0019/4581/9f1b2.png)
![y(y^{-1}(x))=y(\sqrt[3]{2-x})=2-(\sqrt[3]{2-x})^3=2-(2-x)=x](/tpl/images/0019/4581/b2ffb.png)
![y^{-1}(y(x))=y^{-1}(2-x^3)=\sqrt[3]{2-(2-x^3)}=\sqrt[3]{x^3}=x](/tpl/images/0019/4581/7405c.png)
(the real-valued square root) is only defined as long as 
. So 
is defined as long as 
, or 
, or equivalently 
. Under this condition, we could write
. Then 
. But we get the same result if 
, since 
. There are two possible values of 
, so to capture both of them, we take 
, the absolute value of 
Other questions on the subject: Mathematics
Mathematics, 21.06.2019 16:00, destinyaus14
Mr and mrs smith buy tickets for themselves and their four children. the cost of an adult ticket is ? 6 more than the adult ticket. the total cost of the six tickets is ? 40.50 work out the cost of an adult ticket. in your working let c be the cost of the child ticket and a be the cost of the adult ticket.
Answers: 1
Mathematics, 21.06.2019 21:00, iisanchez27
Consider the polynomials given below. p(x) = x4 + 3x3 + 2x2 – x + 2 q(x) = (x3 + 2x2 + 3)(x2 – 2) determine the operation that results in the simplified expression below. 35 + x4 – 573 - 3x2 + x - 8 a. p+q b. pq c. q-p d. p-q
Answers: 2
Mathematics, 22.06.2019 00:00, samafeggins2
Lana's family entered a 5-kilometer race lana's average step length is about 0.5 meter how many steps will she need to take the finish
Answers: 1
You know the right answer?
[tex] \sqrt{ - x ^{3} } [/tex]what would this be? the cool equation is y=2-x^3. i'm doing inverse f...
Questions in other subjects:
Mathematics, 02.03.2021 21:20
Mathematics, 02.03.2021 21:20
Social Studies, 02.03.2021 21:20
Chemistry, 02.03.2021 21:20
Physics, 02.03.2021 21:20
