We have
.
To find inverse function
we substitute x with
and vice-versa to get
![x=\dfrac{f^{-1}(x)+5}{3f^{-1}(x)-1}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7Bf%5E%7B-1%7D%28x%29%2B5%7D%7B3f%5E%7B-1%7D%28x%29-1%7D)
Now solve for
. Note that I will use
instead.
![x=\dfrac{j+5}{3j-1} \\x(3j-1)=j+5 \\3jx-x=j+5 \\3jx-x-j-5=0 \\3jx-j=x+5 \\j(3x-1)=x+5 \\j=\dfrac{x+5}{3x-1}](https://tex.z-dn.net/?f=%3C%2Fp%3E%3Cp%3Ex%3D%5Cdfrac%7Bj%2B5%7D%7B3j-1%7D%20%5C%5C%3C%2Fp%3E%3Cp%3Ex%283j-1%29%3Dj%2B5%20%5C%5C%3C%2Fp%3E%3Cp%3E3jx-x%3Dj%2B5%20%5C%5C%3C%2Fp%3E%3Cp%3E3jx-x-j-5%3D0%20%5C%5C%3C%2Fp%3E%3Cp%3E3jx-j%3Dx%2B5%20%5C%5C%3C%2Fp%3E%3Cp%3Ej%283x-1%29%3Dx%2B5%20%5C%5C%3C%2Fp%3E%3Cp%3Ej%3D%5Cdfrac%7Bx%2B5%7D%7B3x-1%7D%3C%2Fp%3E%3Cp%3E)
So we find that
.
Hope this helps.
Answer:
Może być odpowiedź c ja ne wiem
If you mean 9% of 153 your answer is 13.77
Answer:
D. x = -5
Step-by-step explanation:
The square root function is only defined for non-negative arguments. For the function ...
![g(x)=\sqrt{x+4}](https://tex.z-dn.net/?f=g%28x%29%3D%5Csqrt%7Bx%2B4%7D)
this means we must have ...
x +4 ≥ 0
x ≥ -4 . . . . . . subtract 4 from both sides
All of the numbers on your answer choice list are more than -4 except -5.
x = -5 is not in the domain of g(x)
The answer is 2/3
10 / 5 = 2
15 / 5 = 3
= 2/3