Answer:
y = (x^2 + 6) / 2
Step-by-step explanation:
Original function:
To find the inverse of a function we have to switch the x and y values and solve for y again
x = sqrt (2y-6)
To get rid of a square root we square the square root so:
x^2 = 2y-6
Add 6
x^2 + 6 = 2y
Divide by 2
y = (x^2 + 6) / 2
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.