Answer:

Step-by-step explanation:
Assuming you are supposed to simplify:

Then we need to apply the product rule of indices.

So we multiply to get:

We now simplify the exponents to get:

Therefore the required product is

Problem 1
<h3>Answer: False</h3>
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Explanation:
The notation (f o g)(x) means f( g(x) ). Here g(x) is the inner function.
So,
f(x) = x+1
f( g(x) ) = g(x) + 1 .... replace every x with g(x)
f( g(x) ) = 6x+1 ... plug in g(x) = 6x
(f o g)(x) = 6x+1
Now let's flip things around
g(x) = 6x
g( f(x) ) = 6*( f(x) ) .... replace every x with f(x)
g( f(x) ) = 6(x+1) .... plug in f(x) = x+1
g( f(x) ) = 6x+6
(g o f)(x) = 6x+6
This shows that (f o g)(x) = (g o f)(x) is a false equation for the given f(x) and g(x) functions.
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Problem 2
<h3>Answer: True</h3>
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Explanation:
Let's say that g(x) produced a number that wasn't in the domain of f(x). This would mean that f( g(x) ) would be undefined.
For example, let
f(x) = 1/(x+2)
g(x) = -2
The g(x) function will always produce the output -2 regardless of what the input x is. Feeding that -2 output into f(x) leads to 1/(x+2) = 1/(-2+2) = 1/0 which is undefined.
So it's important that the outputs of g(x) line up with the domain of f(x). Outputs of g(x) must be valid inputs of f(x).
Respuesta:
25 días
Explicación paso a paso:
Dado :
escenario 1
Área = 600 m
Número de días = 12
Número de trabajadores = 30
Tasa = 6
Escenario 2:
Área = 900 m
Número de días = n
Número de trabajadores = 36
Tasa = 6
Igualar los parámetros en cada escenario:
12 / n = 36/30 * 6/10 * 600/900
12 / n = 6/5 * 3/5 * 2/3
12 / n = 6/5 * 1/5 * 2/1
12 / n = 12/25
12 * 25 = 12n
300 = 12n
n = 300/12
n = 25 días
Answer:
The value of f is 80.6.
Step-by-step explanation:
We are given the equation and asked to solve for f.
If we are given a fraction with a variable in the numerator, we can multiply both sides of the equation by the denominator to isolate it.
For example, if you look at this equation:

We can multiply both sides by 26 to get the a by itself so the equation can be solved.

Therefore, we can apply this same technique to the equation 

Therefore, the value of f is 80.6.