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Musya8 [376]
3 years ago
7

ANSWER CORRECTLY=BRAINLIEST

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
3 0

Answer:

{ \tt{f(x) = 69 - 15x}}

• let's find the inverse function:

{ \tt{ m = 69 - 15x }} \\  \\ { \tt{15x = 69 - m}} \\  \\ { \tt{x =  \frac{69 - m}{15} }} \\  \\ { \boxed{ \tt{f {}^{  - 1}(x) =  \frac{69 - x}{15}  }}} \\

• finally, let's find the function of the inverse function:

{ \tt{f( {f}^{ - 1}(x)) =69 - 15( \frac{69 - x}{15} )  }} \\  \\ { \tt{f( {f}^{ - 1}(x)) = 69 - (69 - x)}} \\  \\{ \boxed{  \boxed { \tt{ \: f( {f}^{ - 1}(x)) = x \: }}}}

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Ok so this all about subtracting fractions this is what you want to do:

you can change 8 3/4 and 4 2/3 to have the same value and deominator
8 3/4 = 8 9/12(multiply both sides by 3)
4 2/3 = 4 8/12(multiply both sides by 4)
you do this because 12 is divisible by 3 and 4

then, subtract 4 8/12 from 8 9/12 because John is using some of the wood his dad gave him.
then subtract once again, taking 11/2 away from your difference.
again match the deominator of 11/2 to the deominator of your difference which should be 12. another divisible of 12 is 2 and 6.
11/2 = 66/12 = 5 6/12(multiply both the top and bottom by 6)
and start subtracting.

so John should have -1 5/12(?) wood left


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