Answer:
Step-by-step explanation:
Composition of two functions f(x) and g(x) is represented by,
(fog)(x) = f[g(x)]
If a function is,
f(x) = (-6x - 8)² [where x ≤ 
]
Another function is the inverse of f(x),
Now composite function of these functions will be,
![(fof^{-1})(x)=f[f^{-1}(x)]](https://tex.z-dn.net/?f=%28fof%5E%7B-1%7D%29%28x%29%3Df%5Bf%5E%7B-1%7D%28x%29%5D)
= ![[-6(\frac{\sqrt{x}+8}{6})-8]^{2}](https://tex.z-dn.net/?f=%5B-6%28%5Cfrac%7B%5Csqrt%7Bx%7D%2B8%7D%7B6%7D%29-8%5D%5E%7B2%7D)
= ![[-\sqrt{x}+8-8]^2](https://tex.z-dn.net/?f=%5B-%5Csqrt%7Bx%7D%2B8-8%5D%5E2)
= 
= x
Therefore,
Answer:
x> 3/20
Step-by-step explanation:
Let's solve your inequality step-by-step.
1
/5 + 1
/3 x> 1
/2 − 1
/4
Step 1: Simplify both sides of the inequality.
1
/3
x+ 1
/5 > 1
/4
Step 2: Subtract 1/5 from both sides.
1
/3
x+ 1/
5 − 1
/5 > 1
/4 − 1
/5 1
/3 x> 1
/20
Step 3: Multiply both sides by 3.
3*(
1
/3
x)>3*(
1
/20
)
x>
3
/20
Answer:
x> 3/
20
Hope this helps!!
The given logarithmic equation solved for x is x = 10
<h3>Solving Logarithmic equations</h3>
From the question, we are to solve the given logarithmic equation.
The given logarithmic equation is
log((4x)/(8)) = log(x - 5)
To solve the given logarithmic equation, we will determine the value of the unknown variable.
The unknown variable in the equation is x.
From one of the rules of logarithm, we have that
If logₓY = logₓZ
Then,
Y = Z
Thus,
From log((4x)/(8)) = log(x - 5)
We can write that
(4x)/(8) = (x - 5)
Now, solve for x
(4x)/(8) = (x - 5)
Multiply both sides by 8
8 × (4x)/(8) = (x - 5) × 8
4x = 8x - 40
Subtract 8x from both sides of the equation
4x - 8x = 8x - 8x - 40
-4x = -40
Multiply both sides by -1
-1 × -4x = -1 × -40
4x =40
Divide both sides by 4
4x/4 = 40/4
x = 10
Hence, the solution of the equation is x = 10
Learn more on Solving logarithmic equation here: brainly.com/question/237323
#SPJ1
The answer is D. $270.00.
To find this answer, you divide 37.80 by 14%.
Answer:
1
Step-by-step explanation:
1 can be the only thing. 2,3,4,5,6,7,8,9 don't go in 45 and 32
32/2= 16
45/2= gives a decimal
45/9= 5
32/9= gives us a decimal.
only 1 can go into both
so answer is 1
