If f(x)=x-2, which of the following is the inverse of F(x)
2 answers:
Answer:
= x + 2.
Step-by-step explanation:
Given : f(x) = x-2.
To find : inverse of F(x).
Solution : We have given that f(x) = x-2.
STEP 1: replace "y" in for the "f(x)":
y = x -2.
STEP 2: Switch the x and y
x = y -2 .
STEP 3: Solve for y:
On adding 2 both sides and switching the sides.
y = x + 2 .
STEP 4: write in the inverse notation
y = = x + 2.
Therefore, = x + 2.
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Answer:
a. 125 – 7d
Step-by-step explanation:
Let d be the number of days.
<u>Given the following data;</u>
Total distance (month) = 125 miles
Distance covered per day = 7 miles
To determine how many miles he has left to run after running for "d" days, this mathematical expression can be used;
Total distance - distance covered per day = number of miles remaining
This is a problem of Permutations. We have 3 cases depending on the number of B's. Since no more than three B's can be used we can use either one, two or three B's at a time.
Case 1: Five A's and One B
Total number of letters = 6
Total number of words possible =
Case 2: Five A's and Two B's
Total number of letters = 7
Total number of words possible =
Case 3: Five A's and Three B's
Total number of letters = 8
Total number of words possible =
Total number of possible words will be the sum of all three cases.
Therefore, the total number of words that can be written using exactly five A's and no more than three B's (and no other letters) are 6 + 21 + 56 = 83