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How to solve this questions/equations. pls explain How To Do it (per number)thx i will vote 4 best answer?
(and pls tell me what Specific kind of lesson in math is this? for example (sin cos tan = trigonometric identities, etc.) )
any help will be appreciated because im taking my exams this monday and i need help in these 2 topics which i didnt even know what kind of lesson/topic it is
1)Given g(x) = 3x-1 and f(g(x)) = 9x^2 -6x +2
find f(x)
2) Given f(x)= 3x+2, find f^-1(x)
pls also illustrate the answer not just show the solution pls, because i can understand more if u show both the solution and answer ^^
3 Answers
- ?Lv 45 years ago
in case you ever took precalculus or another math class which covers residences of applications, you study a thank you to be sure the area of the function. between the pink flags to look out for is once you divide with the aid of 0. on your expression, whilst x = 3, the denominator is 0. as a result, the area is each extensive style beside 3. regrettably, the extensive style you are attempting to plug in (x = 3) is the only extensive style that would not paintings in this function. to be sure this typical hand, you0 can graph this function on a TI-80 3. in case you zoom in on the fringe of the graph at x = 3, you will see that there is a clean spot there! it truly is by technique of the fact, as reported above, there only isn't a fee of the expression at x = 3. you would be able to declare, properly apparently like the respond could desire to be 6, finding on the graph. this thought of what the respond "could desire to be" is what limits are all approximately. The values of the function on the left and proper of x = 3 all bypass in the direction of 6 as you get closer and closer. So we are saying the cut back as x is going to 3 is 6. So besides the undeniable fact that it truly is no longer technically the respond, 6 is your maximum suitable selection. 0 isn't in ordinary terms right suited in any experience. the very maximum suitable answer is to declare that the expression is undefined at x = 3. This difficulty illustrates why 0/0 is noted as indeterminate. in this difficulty, 0/0 in a fashion equals 6. the thought 0/0 can equivalent something is truly the essence of calculus.
- 1 decade ago
Im not entirely positive about what type of math it is. Either Trigonometry or Algebra. Anyways all you have to do is take the given equation of g(x) and substitute it into the x of the equation f(g(x)). So it should be f(g(x)=9(3x-1)^2-6(3x-1)+2