Why three prime numbers equal 30
2 answers:
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Answer:
A.
Step-by-step explanation:
We have been given that f be a differentiable function such that,
,
, and
. The function g is differentiable and
for all x.
We know that when one function is inverse of other function, so:
Upon taking derivative of both sides of our equation, we will get:
Plugging into our equation, we will get:
Since , then
.
Since we have been given that , so we will get:
Therefore, and option A is the correct choice.
and h(x)= 2x-8
g o h is a composition function
First we find g o h
g o h is g(h(x))
We plug in h(x) in g(x)
We replace x with 2x-8 in g(x)
To find domain we look at the domain of h(x) first
Domain of h(x) is set of all real numbers
now we look at the domain of g(h(x))
Negative number inside the square root is imaginary. so we ignore negative number inside the square root
So to find domain we set 2x - 12 >=0 and solve for x
2x - 12 >=0
add both sides by 12
2x >= 12
divide both sides by 2
x > = 6