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TEA [102]
3 years ago
9

What is the inverse of the function??

Mathematics
1 answer:
Firlakuza [10]3 years ago
5 0
\(\begin{matrix}
y=ln(x+3)\\
e^y=x+3\\
e^y-3=x\\
swap ~x~and~y\\
 \huge\underline{y=e^x-3}}
 \end{matrix}\)


To get the inverse of any function f(x) [ just make sure that it passes the horizontal line test] follow the steps:

- Solve for x, i.e separate x in one side and the other terms in the other side, included f(x).

- Swap x and f(x).

- The result is the inverse of the original function f^{-1}(x).

-------------------------

Apply that on your function
\(\begin{matrix}
y=ln(x+3)\\
e^y=x+3\\
e^y-3=x\\
swap ~x~and~y\\
 \huge\underline{y=e^x-3}}
 \end{matrix}\)




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A number when divided by 780 gives remainder 38 .What
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Given:

A number when divided by 780 gives remainder 38.

To find:

The reminder that would be obtained by dividing same number by 26.

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a=bq+r                ...(i)

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Substituting b=780,\ r=38 in (i), we get

a=(780)q+38

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4 0
3 years ago
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