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mafiozo [28]
3 years ago
13

Let f(x)=7x-13. Find f^-1(x).

Mathematics
2 answers:
yKpoI14uk [10]3 years ago
7 0

Answer:

The inverse function is (x+13)/7

Step-by-step explanation:

y = 7x-13

Exchange x and y

x = 7y -13

Solve for y

Add 13 to each side

x+13 = 7y-13+13

x+13 = 7y

Divide each side by 7

(x+13)/7 = 7y/7

(x+13)/7 = y

The inverse function is (x+13)/7

vitfil [10]3 years ago
5 0

Ok but allow my humble self to use y instead of f(x).

We have,

y=7x-13

If you wanna know what the inverse is swap the values of x and y,

x=7y-13

And now solve for y,

x+13=7y\implies\boxed{y=f^{-1}(x)=\frac{x+13}{7}}.

Hope this helps.

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Two-digit natural numbers are formed, with replacement, from the digits 0 through 9.
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Answer:

The first digit of a two digit number can be any of digits 1 - 9. It cannot be 0 though. Therefore there are 9 possible digits for the first place.

There are 5 possible digits for the second position. The two digit number has to be odd and therefore the final digit must be 1,3,5,7 or 9

Therefore for each and every one of the nine first digits there are 5 digits that the second can be.

Therefore ANSWER = 9 * 5 = 45 possible permutations.

2. The largest two digit number = 99

Subtract 57 and you get 42

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Answer:

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Step-by-step explanation:

The area of a trapezoid is given by the average of the bases multiplied by the height.

What we're given:

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