Answer:
F(x) and g(x) are not inverse functions.
Step-by-step explanation:
In order to calculate the inverse function of a function, we have to isolate X and after that, we change the variables.
As our function f(x) is a exponentian function, we can apply logarithm with base 10 (log) in both sides in order to isolate X. Remember that log10=1.
![[tex]y=10^{(x+\frac{2}{3}) }\\\\log y=log 10^{(x+\frac{2}{3}) }\\log y = (x+\frac{2}{3}) . log10\\\frac{log Y}{log10} = (x+\frac{2}{3})\\\frac{log Y}{1} = (x+\frac{2}{3})\\log Y-\frac{2}{3}=x](https://tex.z-dn.net/?f=%5Btex%5Dy%3D10%5E%7B%28x%2B%5Cfrac%7B2%7D%7B3%7D%29%20%7D%5C%5C%5C%5Clog%20y%3Dlog%2010%5E%7B%28x%2B%5Cfrac%7B2%7D%7B3%7D%29%20%7D%5C%5Clog%20y%20%3D%20%28x%2B%5Cfrac%7B2%7D%7B3%7D%29%20.%20log10%5C%5C%5Cfrac%7Blog%20Y%7D%7Blog10%7D%20%3D%20%28x%2B%5Cfrac%7B2%7D%7B3%7D%29%5C%5C%5Cfrac%7Blog%20Y%7D%7B1%7D%20%3D%20%28x%2B%5Cfrac%7B2%7D%7B3%7D%29%5C%5Clog%20Y-%5Cfrac%7B2%7D%7B3%7D%3Dx)
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Now we change the variables.
F(x) and g(x) are not inverse functions.
10w + 9 Are you combing like terms?
3.5 phone calls an hour
understandable
the coach makes a total volume of 60 L of a sports drink
we have to find the number of cups he can fill with the drink
1 cup is equivalent to 0.5 pints
so we have to first convert L to pints
1 L = 2.11 pt
then 60 L = 126.6 pt
the volume of sports drink made is 126.6 pt
so 0.5 pt make - 1 cup
then 126.6 pt make - 1 / 0.5 x 126.6 = 253.2 cups
he can make 253 full cups and 0.2 of a cup
answer is 253.2 cups
Answer:
50 and 60 mph respectively
Step-by-step explanation:
Step one:
given data
total distance= 450 miles
time take= 9 hours
Required
Tom and Tammy's average speed
Step two:
Tom's average speed= 450/9
= 50 miles per hours
Tammy's average speed= 450/7.5
= 60 miles per hours
