What is the value of 8(−6÷−2)?
1 answer:
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La función h(x) es uno a uno en su dominio, por lo tanto es invertible. Y la inversa es:
g(x) = [(x + 3)*4 - 5]/(x + 3 - 1)
<h3>¿Es la función h(x) invertible?</h3>
La función esta definida como:
h(x) = -3 + | (5 - x)/(4 - x) |
El dominio es (4, 5] y el rango es [-3, ∞).
Claramente la función es uno a uno en ese intervalo, como podemos ver en el grafico abajo.
Ahora sabemos que la función es invertible en su dominio, entonces debemos encontrar otra funcion g(x) tal que:
h(g(x)) = x
Entonces debemos tener:
-3 + | (5 - g(x))/(4 - g(x)) | = x
| (5 - g(x))/(4 - g(x)) | = x + 3
Podemos remover el valor absoluto:
(5 - g(x))/(4 - g(x)) = x + 3
5 - g(x) = (x + 3)*(4 - g(x))
5 - g(x) + g(x)*(x + 3) = (x + 3)*4
g(x)*(x + 3 - 1) = (x + 3)*4 - 5
g(x) = [(x + 3)*4 - 5]/(x + 3 - 1)
Esa es la función inversa de h(x).
Sí quieres leer más sobre funciones inversas:
#SPJ1
Answer:
Using equivalent fractions, the time Matt takes to eat 1 pie is 1200/11 which is the same as seconds
Step-by-step explanation:
The number of pies Matt eats = 2.75 pies
The time duration Matt eats 2.75 pies = 300 seconds
Mathematically, the time duration for Matt to eat one pie is given as follows;
The time to eat 2.75 pies = 300 seconds
Dividing both sides of the equation by 2.75 gives;
The time to eat 2.75/2.75 pie = 300/2.75 seconds
2.75/2.75 = 1, therefore, we have;
The time to eat 1 pie = 300/2.75 seconds
The equivalent fraction of 3000/2.75 = 1200/11
Therefore;
The time Matt takes to eat 1 pie = 1200/11 seconds