Simplify: [(−13)^8÷ (−13)^5] − [(−13)^5÷ (−13)^3]
1 answer:
You might be interested in
Answer:
h = 17.65 m
Step-by-step explanation:
The given equation gives the speed at impact :
h is height form where the object is dropped
Put v = 18.6 m/s in the above equation.
So, the object must be dropped from a height of 17.65 m.
Answer: Choice B. k(h(g(f(x))))
For choice B, the functions are k, h, g, f going from left to right.
===========================================================
Explanation:
We have 4x involved, so we'll need f(x)
This 4x term is inside a cubic, so we'll need g(x) as well.
So far we have
g(x) = x^3
g( f(x) ) = ( f(x) )^3
g( f(x) ) = ( 4x )^3
Then note how we are dividing that result by 2. That's the same as applying the h(x) function
And finally, we subtract 1 from this, but that's the same as using k(x)
This leads to the answer choice B.
To be honest, this notation is a mess considering how many function compositions are going on. It's very easy to get lost. I recommend carefully stepping through the problem and building it up in the way I've done above, or in a similar fashion. The idea is to start from the inside and work your way out. Keep in mind that PEMDAS plays a role.