Answer:
In order to change a rational number to a decimal, we just convert the number into the form of a fraction. We then divide the numerator with the denominator and find out the exact value of the division.
(a) Using the table, give the values fo rthe inverse
1) original table of values:
x 1 2 3 4 5
f(x) 0 1 1 5 3
2) The inverse of the function is obtained by exchanging x and f(x), this is:
( x, f(x) ) → ( f(x), x)
3) So, the table of values of the inverse of the given function is:
x 0 1 1 5 3
f⁻¹ (x) 0 1 2 3 4
(b) Is the inverse a function?
No, the inverse is not a function, since the table of the inverse shows that the x -value 1 has two different images.
This ambigüity is opposite to the definition of a function, which requires that any input value has only one output. For that reason, the inverse is not a function. You cannot tell whether the image of 1 is 1 or 2, because both are images of the same value.
Answer: t= -0.799
This can also be written as t= -0.8
How to do it :
4.74t+ 5 = 13.5t + 12
first, subtract 4.74t from both sides
5= 8.76t + 12
next, subtract 12 from each side
-7 = 8.76t
next, divide 8.76 from each sides
-0.799 = t
Yes they are. if you multiply numerator and denominator of 3/7 by 6, you get 18/42
