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!
Car A Car B
d=rt d = rt
d = ra * 2.4 d = rb 4
ra = rb+22
distances are the same so set the equations equal
ra * 2.4 =rb *4
substitue in for ra
(rb+22) 2.4 =rb *4
distribute
2.4 rb +52.8 = 4 rb
subtract 2.4 rb from each side
52.8 = 1.6 rb
33 = rb
Car b travels at 33 miles per hour
Car a = 33+22
Car a = 55 miles per hour
You will find the area of the 5 surfaces made of glass. There is a front, back, 2 sides, and the bottom. Each face is in the shape of a rectangle, so you will multiply the length by the width.
1. Front- 24 x 27 =648
Back-24 x 27 = 648
2. Side- 21 x 27 =567
Side - 21 x 27 = 567
3. Bottom - 21 x 24 = 504
Add all these together for your total amount of glass needed. The answer is 2934 square cm of glass.
I’m pretty sure it’s -6 because f(x) is the first curve and g(x) is the second and there’s six spaces between each of their vertexes
