Answer:
f(x) = ![2^{(3x)}](https://tex.z-dn.net/?f=2%5E%7B%283x%29%7D)
Step-by-step explanation:
The given options are,
a) f(x) = ![2^{(3x)}](https://tex.z-dn.net/?f=2%5E%7B%283x%29%7D)
b) f(x) = ![({\frac {1}{2}})^{3x}](https://tex.z-dn.net/?f=%28%7B%5Cfrac%20%7B1%7D%7B2%7D%7D%29%5E%7B3x%7D)
c) f(x) = ![2 \times ({\frac {1}{3}})^{x}](https://tex.z-dn.net/?f=2%20%5Ctimes%20%28%7B%5Cfrac%20%7B1%7D%7B3%7D%7D%29%5E%7Bx%7D)
d) f(x) = ![\frac {1}{2} \times ({\frac {1}{3}})^{x}](https://tex.z-dn.net/?f=%5Cfrac%20%7B1%7D%7B2%7D%20%5Ctimes%20%28%7B%5Cfrac%20%7B1%7D%7B3%7D%7D%29%5E%7Bx%7D)
Now, among the given options only option (a) satisfies the criteria stated in the question i. e.,
1. f(x) → 0 as x → - ∞ and
2 f(0) = 1
so, the correct answer is,
f(x) = ![2^{(3x)}](https://tex.z-dn.net/?f=2%5E%7B%283x%29%7D)
1. We assume, that the number 92.4 is 100% - because it's the output value of the task.
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 92.4 is 100%, so we can write it down as 92.4=100%. </span>
<span>4. We know, that x is 150% of the output value, so we can write it down as x=150%. </span>
5. Now we have two simple equations:
1) 92.4=100%
2) x=150%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
92.4/x=100%/150%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 150% of 92.4
92.4/x=100/150
<span>(92.4/x)*x=(100/150)*x - </span>we multiply both sides of the equation by x
<span>92.4=0.666666666667*x - </span>we divide both sides of the equation by (0.666666666667) to get x
<span>92.4/0.666666666667=x </span>
<span>138.6=x </span>
x=138.6
<span>now we have: </span>
<span>150% of 92.4=138.6</span>
Answer: g(x) = (1/2)3^-x reflection over y axis yields (-x,y)
Answer:
1.85
Step-by-step explanation: