First, replace f(x) with y.
So we have now:
y = 3x + 1
Next, switch the x and y.
We get:
x = 3y + 1
Finally, solve for y.
3y = x - 1
y = x/3 - 1/3
So, we have f(x) = 3x + 1, and the inverse of this function is:
Answer:
numerator divided by denominator
Step-by-step explanation:
Answer:
7 months
Step-by-step explanation:
I graphed it
Remark: in the solution, the word Combination is used in the daily usage of the word, not in the combinatorial (mathematical) language.
Let the available 4 base colors be

,
the available 6 accent colors be

,
and the available 2 fonts for the embroidery be

,
so we have 4 b's, 6a's and 2 e's.
The event that Ray and Lilly design identical shoes can happen in the following way:
Ray has in total 4*6*2=48 possible combinations, and in each of these combinations, Lilly makes the same exact combinations of the 3- b's, a's and e's.
The sample space is 48 possible combinations of Ray * 48 possible combinations of Lilly = 48*48
(among these there are 48 matches of the combinations)
Thus P(designing identical shoes)=48/(48*48)=1/48=0.02
Answer:0.02