Answer:
D
Step-by-step explanation:
You have to have exactly the same thing underneath the radical. So for example in choice A you have sqrt(2) and sqrt(3) underneath the radical. They are not the same. Choice A is not the answer.
Choice B has the same problem sqrt(5) is not the same thing as sqrt(3) and choice B is not the answer.
Choice C has sqrt(5) and sqrt(6) as your choice. They are not the same. C is not correct.
D is the answer. Both choices have sqrt(7) as the radicals. They are both 7. They are the same.
Hey!
First, let's write the problem.

Multiply

with

.

Subtract

from both sides.


Divide both sides by

.


Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish
Answer: the first one is 30. The second is .294. The third is 2/3.
Step-by-step explanation:
Solve for x then replace x with f⁻¹(x) and y with x
y=(4^x-5)/3
times 3
3y=(4^x-5)
add 5
3y+5=4^x
take log₄ both sides
log₄(3y+5)=x
switch
f⁻¹(x)=log₄(3y+5)