3 years ago

Solve the following equation by completing the next two lines (showing all work ) X + 6 = 10

Mathematics

1 answer:

WITCHER [35]3 years ago

6 0

Answer:

x=10-6

x=4

Step-by-step explanation:

for which level

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Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. (2 points)

n200080 [17]

Given:

$f(x)=\dfrac{8}{x}$

$g(x)=\dfrac{8}{x}$

To find:

Whether f(x) and g(x) are inverse of each other by using that f(g(x)) = x and g(f(x)) = x.

Solution:

We know that, two function are inverse of each other if:

$f(g(x))=x$ and $g(f(x))$

We have,

$f(x)=\dfrac{8}{x}$

$g(x)=\dfrac{8}{x}$

Now,

$f(g(x))=f(\dfrac{8}{x})$ $[\because g(x)=\dfrac{8}{x}]$

$f(g(x))=\dfrac{8}{\dfrac{8}{x}}$ $[\because f(x)=\dfrac{8}{x}]$

$f(g(x))=8\times \dfrac{x}{8}$

$f(g(x))=x$

Similarly,

$g(f(x))=f(\dfrac{8}{x})$ $[\because f(x)=\dfrac{8}{x}]$

$g(f(x))=\dfrac{8}{\dfrac{8}{x}}$ $[\because g(x)=\dfrac{8}{x}]$

$g(f(x))=8\times \dfrac{x}{8}$

$g(f(x))=x$

Since, $f(g(x))=x$ and $g(f(x))$ , therefore, f(x) and g(x) are inverse of each other.

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Helen [10]

Answer:

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Step-by-step explanation:

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