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2 years ago

Find the inverse of function f f(x)9x+7

Mathematics

1 answer:

kap26 [50]2 years ago

5 0

The inverse of function f(x) = 9x+7 is f-1(x) = x/9 - 7/9

<h3>How to determine the inverse of the function?</h3>

The function is given as:

f(x) = 9x + 7

Express f(x) as y

y = 9x + 7

Swap the positions of x and y in the above equation

x = 9y + 7

Subtract 7 from both sides

9y = x - 7

Divide through by 9

y = x/9 - 7/9

Express as an inverse function

f-1(x) = x/9 - 7/9

Hence, the inverse of function f(x) = 9x+7 is f-1(x) = x/9 - 7/9

Read more about inverse functions at:

brainly.com/question/14391067

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Seis manzanas y 8 peras cuestan $26. ¿Cuanto cuesta cada pera y cada manzana sabiendo que cada manzana cuesta el triple de lo qu

Rom4ik [11]

Usando un sistema de ecuaciones, se encuentra que

Cada manzana cuesta $3.
Cada pera cuesta $1.

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Un sistema de ecuaciones soluciona esta pergunta.
El custo de una manzana es x.
El custo de una pera es y.

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<u>Seis manzanas y 8 peras cuestan $26</u>, o sea, $6x + 8y = 26$
<u>Cada manzana cuesta el triple de cada pera</u>, o sea, $x = 3y$

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Primero, encontramos el cuesto de una pera, substituyendo la segunda en la primera ecuación.

$6x + 8y = 26$

$6(3y) + 8y = 26$

$18y + 8y = 26$

$26y = 26$

$y = \frac{26}{26}$

$y = 1$

Cada pera cuesta $1.

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<u>Cada manzana cuesta el triple de cada pera</u>, o sea, $x = 3y = 3(1) = 3$ .

Cada manzana cuesta $3.

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