Cancel the common factor of ln(4) ln ( 4 ) . Divide x x by 1 1 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=ln(x)ln(4) f - 1 ( x ) = ln ( x ) ln ( 4 ) is the inverse of f(x)=4x f ( x ) = 4 x .
Answer:
1. 1
2. 1/12
3. 3 1/6
Step-by-step explanation:
Solution for #1. First, you have to get a common denominator. Here, that would be 6. In order to give 1/2 a denominator of 6, you will need to multiply the numerator and the denominator by 3. That will give you 3/6. Add that to the other 3/6 (3/6+3/6) which equals 6/6 which can be simplified to 1.
Solution for #2. This is just like #1. First, you have to get a common denominator. Here, that would be 12. In order to give 1/3 a denominator of 12, you will need to multiply the numerator and the denominator by 4. That will give you 4/12. Then, to give 1/4 a denominator of 12, you will need to multiply the numerator and the denominator by 3. That will give you 3/12. Then, subtract (4/12-3/12). You will get an answer of 1/12.
Solution for #3. This is slightly different from the others, I has two more steps. First, you need to changed the mixed fractions into improper fractions. You will get 17/3 and 5/2. Then, you have to get a common denominator. Here, that would be 6. In order to give 17/3 a denominator of 6, you will need to multiply the numerator and the denominator by 2. That will give you 34/6. Then, to give 5/2 a denominator of 6, you will need to multiply the numerator and the denominator by 3. That will give you 15/6. After that, subtract (34/6-15/6). You should get 19/6. Finally, divide 19/6 and you should get 3R1. So, the mixed fraction version of 19/6 is 3 1/6 (I did this by using the 3 from 3R1 as the whole number and I just put the remainder of 1 over 6 as the fractional part). You can multiply to check your answer.
10*[(6+4) / 2]
= 10*[10/2]
= 10 * 5
= 50
Answer:
domain: all real numbers
range: y>0
Step-by-step explanation:
took it
Divide across and see if its proportional meaning that is the same... The answer is 2 so its proportional Hope this helped Im not good at Math but i do understand this i learned it a few days ago Im not a professional though lol I just know how to do this stuff and percents a percent over 100 and X over the number if you ever need help there just like Fractions message me i know how to do proportional relationships Ill try..
