What composition forms the equation p(x) when given the functions for h(x), f(x), k(x), and g(x)? PLEASE HELP!!!!! thank you!!!!
! *will ofc give brainliest*
1 answer:
Answer: Choice B. k(h(g(f(x))))
For choice B, the functions are k, h, g, f going from left to right.
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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.
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Answer:
Step-by-step explanation:
can be represented as
and
can be represented as
. Therefore, the expression can be rewritten as:
The rule for multiplying two exponents with the same base is you add the exponents. For example:
We can use the same property to get:
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Answer:
The answers are and
.
Step-by-step explanation:
Proportions are fractions that can be made by using the given numbers, which in this case are 2, 5, 8, and 20. Let's pair each one with the other three and then simplify if possible.
First, let's begin with 2:
Then, let's do 5:
Note that we already have , so we do not need to include an additional one.
Now, let us do 8:
See how we already have , so we won't have to include that as well.
Finally, let's do 20:
Now see that we already have both and
, so we won't have to include both of them, as they are both extras.
Hence, the answers are and
.