Mathematics: If `f(x)=x^2-81` and `g(x)=(x-9)^(-1)(x+9)`, find `g(x)xxf(x)`.

If `f(x)=x^2-81` and `g(x)=(x-9)^(-1)(x+9)`, find - id281919240038, kdndiamond9101

Ответ:

jasmin5285

10.03.2022

Mathematics

g ( x ) * f ( x ) = ( x + 9 ) ^ 2

Step-by-step explanation:

We are given the following two functions and we are to find g(x) * f(x) :

f(x)=x2-81

$g(x)=(x - 9)^{-1} ( x + 9)$

$g(x)*f(x)=x^{-81} * \frac{x+9}{x-9}$

$g ( x ) * f ( x ) =\frac{(x+9)(x-9)(x+9)}{x-9}$

g ( x ) * f ( x ) = ( x + 9 ) ( x + 9 )

g ( x ) * f ( x ) =( x + 9 ) ^ 2

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Ответ:

Yailynn565

10.03.2022

Mathematics

For this case we have the following fusions:

$f (x) = x ^ 2-81\\g (x) = (x-9) ^ {- 1} * (x + 9)$

We can rewrite g (x) as:

$g (x) = \frac {(x + 9)} {(x-9)}$

According to the following power property:

$a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}$

Also:

If we factor f (x) we have:

f (x) = (x + 9) (x-9)

We must find:

$f (x) * g (x) = (x + 9) (x-9) * \frac {(x + 9)} {(x-9)}$

We simplify common terms in numerator and denominator:

f (x) * g (x) = (x + 9) ^ 2

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Ответ:

mooredollie

24.08.2021

Mathematics

3/2

Step-by-step explanation:

Divide by 4 to get 6x/4 = 3x/2

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If `f(x)=x^2-81` and `g(x)=(x-9)^(-1)(x+9)`, find `g(x)xxf(x)`.

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