Explanation:
For a function ...
y = f(x)
the inverse function is ...
x = f(y)
To write that in the form y=f^-1(x), you need to solve for y.
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For your function f(x) = e^x +3 this looks like ...
x = e^y +3
x -3 = e^y . . . . . subtract 3
ln(x -3) = y . . . . . take the natural log
So, we can write ...
f^-1(x) = ln(x -3)
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Attached is a graph of these functions. As you might guess from the interchange of x and y, a function and its inverse are mirror images of each other across the line y=x.
Answer:
Mixed number-3 and 88/1000 which is simplified to 3 and 11/125
Improper fraction- 386/125
Step-by-step explanation:
<u>Mixed Number</u>
3.088 is read as Three and eighty-eight thousandths. As a fraction we write this as 3 and 88/1000. However, 88/1000 can be simplified. The greatest common factor that will go into 88 and 1000 is 8, so I divide 8 into 88 and get 11, then I divide 8 into 1000 and get 125. Simplified my answer is 3 and 11/125.
<u>Improper Fraction</u>
If I have 3 and 11/125, I will change it to an improper fraction by first multiplying the whole number 3 by the denominator 125. This gives me 375, which I add to the numerator 11 and that gives me 386. I will keep my denominator so my improper fraction will be 386/125.
G(X)=6X-3
Y=6X-3
X=6Y-3
X+3=6Y
Y=(X+3)/6
G^-1(9)=(X+3)/6
G^-1(9)=(9+3)/6
G^-1(9)=2
Devon records 3/8 of 4 hours for comedy shows, which is 90 mins worth (1 hour and a half).
Please vote my answer brainliest. thanks!
What about it? What is the question?