3 years ago

You don't even need to do the first one (a) just do (b) please

Mathematics

1 answer:

azamat3 years ago

3 0

Answer:

-8

Step-by-step explanation:

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Step-by-step explanation:

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UkoKoshka [18]

Answer:

$\displaystyle f^{-1}(x)=\frac{6x-60}{5}$

Step-by-step explanation:

<u>Inverse function</u>

Given the function

$\displaystyle f(x)=\frac{5}{6}x+10$

We find its inverse following the procedure below:

Set y=f(x)

$\displaystyle y=\frac{5}{6}x+10$

Multiply by 6:

$6y=5x+60$

Operate:

$5x=6y-60$

Solve for x:

$\displaystyle x=\frac{6y-60}{5}$

Swap variables:

$\displaystyle y=\frac{6x-60}{5}$

Make the new y the inverse function:

$\boxed{\displaystyle f^{-1}(x)=\frac{6x-60}{5}}$

This is the inverse function

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