Hi!
We can see here that this is a composition question.
And since the composition of g of f of x is x, we can conclude that g(x) is the inverse of f(x) (if you're confused, search up the definition of an inverse function).
To find an inverse function, we can take the f(x) function and change the positions of the x and y variables.
Which is answer choice A, to check your work, you can solve the composition of g(f(x)), which will get you x.
2s cancel.
The natural log and e cancel.
s cancel.
7s cancel.
Hope this helps!
8 out of 12 people were happy.
8/12 reduces to 2/3 of the people were happy.
Multiply the total people surveyed by 2/3:
126 x 2/3 = (126 x 2) /3 = 252/3 = 84
84 people were happy.
Answer:
the shirt before taxes is $18. the shirt after taxes is 19.53
Step-by-step explanation:
you multiply 20x.10 and you'll get 2. so you subtract 2 from 20, that's $18.
to get taxes, you multpliply 18x.085 and you get $1.53.
you then add $1.53 to 18 and you get your total price of $19.53
By the Pythagorean theorem,
.. x^2 +(x -46)^2 = (x +4)^2
.. 2x^2 -92x +2116 = x^2 +8x +16
.. x^2 -100x +2100 = 0
.. (x -50)^2 -400 = 0
.. x = 50 ±20 . . . . . only x=70 makes any sense in the problem
The height, x, of the tree is 70 meters.
