LCM 14 & 24 = 168
then use the highest exponents for the variables
answer = 168x^6y^6z^8
The equation of the new function is 
Explanation:
The Parent function is 
We need to determine the new function g(x) using the transformation by stretching the f(x) horizontally by a factor of 4 and shifting it 1 unit up.
The function transformation formula is given by

Where a stretches the function vertically
b compresses or stretches it horizontally,
c shifts the function left or right
d shifts the function up or down
Since, it is given that the function stretches horizontally by a factor of 4 and shifting it 1 unit up.
Hence,
and 
Substituting these values in the formula, we have,

Thus, the equation of the new function is 
(x^1/2 y^-2/3)^-6
= x^(1/2*-6) y^[(-2/3) *(-6)]
= x^-3 y ^4
= y^4 / x^3
answer is D. y^4 / x^3
To find the answer,we can set up two equations:
Let the integer be x and y seperately,and x be the larger number:
x+y=74
y=74-x....(1)
x-2y=26...(2)
Put (1) into (2):
x-2(74-x)=26
x-148+2x=26
3x=26+148
x=174/3
x=58
Put the above answer into (1):
y=74-58
y=16
Therefore,the answer is x=58, y=16.
Hope it helps!