Answer:
Domain : {x | all real numbers} ; Range: {y | y > 0}
Step-by-step explanation:
The function can be written as :
![f(x)=\sqrt[\frac{2}{3}]{108^{2\cdot x}}\\\\\implies f(x)=(108)^{(\frac{3}{2})^{2\cdot x}}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B%5Cfrac%7B2%7D%7B3%7D%5D%7B108%5E%7B2%5Ccdot%20x%7D%7D%5C%5C%5C%5C%5Cimplies%20f%28x%29%3D%28108%29%5E%7B%28%5Cfrac%7B3%7D%7B2%7D%29%5E%7B2%5Ccdot%20x%7D%7D)
Now, since x is exponent so it can take any real values. So, its domain of f(x) is all real numbers
But value of f(x) can not be less than 1 because for x = 0 the value of f(x) is 1 and also for any values of x, the value of f(x) can never be less than 1
So, Range of f(x) is all real numbers greater than 0
Hence, Domain and Range of f(x) is given by :
Domain : {x | all real numbers} ;
Range: {y | y > 0}
The roots of the quadratic equation 
are
.
Here the given quadratic equation is 
. Here 
.
The roots are
Answer:
Step-by-step explanation:
If it is, the first and last terms are perfect squares, and the middle term is twice the product of the roots of those squares.
16x^ = (4x)^2 . . . . a perfect square
49 = 7^2 . . . . . . . a perfect square
-2(4x)(7) = -56x . . . . . matches the middle term, so the factoring is ...
16x^2 -56x +49 = (4x -7)^2
_____
The sign in the binomial factors is the same as the sign of the middle term of the trinomial.
Answer:
x = 12 , x = 21
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask!!!!
