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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)
and this question:
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 ^^
pls heklp ..........................
2 Answers
- Anonymous1 decade agoFavorite Answer
1)Given g(x) = 3x-1 and f(g(x)) = 9x^2 -6x +2
find f(x)
f(g(x)) = 9x^2 -6x +2
f(3x-1)=9x^2 -6x +2
(x^2+1)(3x-1)=9x^2 -6x +2
Ans: f(x)=x^2+1
____________check....
substitute x in g(x) in f(x) ---->
(3x-1)^2 +1 which is equal to 9x^2 -6x +2
______________________________
2.Given f(x)= 3x+2, find f^-1(x)
f^-1(x) = 1/f(x) = 1/(3x+2)
thats it
Source(s): knowledge in schoolings - Anonymous4 years ago
Im no longer completely advantageous approximately what variety of math it rather is. the two Trigonometry or Algebra. in any case all you would be able to desire to do is take the given equation of g(x) and replace it into the x of the equation f(g(x)). So it rather is going to be f(g(x)=9(3x-a million)^2-6(3x-a million)+2