B because each input has one output
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!
Answer:
(D) 3x−4
Step-by-step explanation:
<u>Factor Theorem</u>
Given a polynomial P(x) and a linear function x-a, If P(a)=0, then the linear function x-a is a factor of P(a).
In Option A:
In Option B
In Option C
In Option D
We can see that only Option D: 3x−4 gives a result of 0. Therefore, by the factor theorem, it is a factor of the polynomial.
Answer:
(b) 0.3 microns or larger
Step-by-step explanation:
A particle of size 0.3 microns is judged to be the most penetrating particle size. So, a rating for the filtering of those particles will be a worst-case rating. For particles of any other size, the filter will perform better than for 0.3 micron particles. HEPA filters are rated based on their performance with particles ...
0.3 microns or larger
The number of kids in your group is 12.
<u>Step-by-step explanation:</u>
Let the number of kids=x
number of adults=y
total number of people=20
x+y=20(1)
cost of kids ticket=$4
cost of adults' ticket=$6
total cost=$96
4x+6y=96(2)
solving (1) and (2)
we get x=12
y=8
number of adults in the group y=8
number of kids in the group=12
<u />