Answer:
![\hookrightarrow \: { \rm{f(x) = \frac{ {x}^{3} }{8} + 16}} \\](https://tex.z-dn.net/?f=%20%5Chookrightarrow%20%5C%3A%20%7B%20%5Crm%7Bf%28x%29%20%3D%20%20%5Cfrac%7B%20%7Bx%7D%5E%7B3%7D%20%7D%7B8%7D%20%20%2B%2016%7D%7D%20%5C%5C%20)
• let f(x) be m:
![{ \rm{m = \frac{ {x}^{3} }{8} + 16}} \\](https://tex.z-dn.net/?f=%7B%20%5Crm%7Bm%20%3D%20%20%5Cfrac%7B%20%7Bx%7D%5E%7B3%7D%20%7D%7B8%7D%20%20%2B%2016%7D%7D%20%5C%5C%20)
• make x the subject of the function:
![{ \rm{8m = {x}^{3} + 128}} \\ \\ { \rm{ {x}^{3} = 8m - 128 }} \\ \\ { \rm{ {x}^{3} = 8(m - 16) }} \\ \\ { \rm{x = \sqrt[3]{8} \times \sqrt[3]{(m - 16)} }} \\ \\ { \rm{x = 2 \sqrt[3]{(m - 16)} }}](https://tex.z-dn.net/?f=%7B%20%5Crm%7B8m%20%3D%20%20%7Bx%7D%5E%7B3%7D%20%20%2B%20128%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Crm%7B%20%7Bx%7D%5E%7B3%7D%20%3D%208m%20-%20128%20%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Crm%7B%20%7Bx%7D%5E%7B3%7D%20%3D%208%28m%20-%2016%29%20%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Crm%7Bx%20%3D%20%20%5Csqrt%5B3%5D%7B8%7D%20%20%5Ctimes%20%20%5Csqrt%5B3%5D%7B%28m%20-%2016%29%7D%20%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Crm%7Bx%20%3D%202%20%5Csqrt%5B3%5D%7B%28m%20-%2016%29%7D%20%7D%7D)
• therefore:
![{ \boxed{ \rm{ {f}^{ - 1} (x) = 2 {(m - 16)}^{ \frac{1}{3} } }} }\\](https://tex.z-dn.net/?f=%7B%20%5Cboxed%7B%20%5Crm%7B%20%7Bf%7D%5E%7B%20-%201%7D%20%28x%29%20%3D%202%20%7B%28m%20-%2016%29%7D%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%20%7D%20%7D%7D%20%7D%5C%5C%20)
I would recommend "Introduction to Linear Algebra," by Gilbert Strang. It is a compact but very helpful textbook reference written by a well-known MIT professor. There is a corresponding online MIT course that is free, so that's a bonus. I am currently using it to study linear algebra with no class or previous experience, and I think it does a solid job of explaining things. Each section in the book has a set of questions for you to work through, and answers to selected questions appear in an appendix at the end of the book.
Hope this helps!
Step-by-step explanation:
the Boscombe all very well football match well because I am 15 year
Answer: 5 gallons
Step-by-step explanation: the gallons are in decimal points. 1/2 + 1/2 + 2 + 1 = 5. the .05 and 1/2 are the same thing. the .5 + .5 equals 1