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melisa1 [442]
3 years ago
8

2

Mathematics
1 answer:
ella [17]3 years ago
5 0
Yes, if you solve the problem in the parenthesis, then you add the two solutions together and you got ur final solution
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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.

6 0
3 years ago
Which proportion would be used to solve the following problem. The proportion of turtles to alligators at the reptile park is 5:
spin [16.1K]

Answer:

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Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Rewrite 25 and 125 as exponents that have the same base. Write your answers #^# and
dangina [55]

Answer:

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  • 125 = 5^3

Step-by-step explanation:

Both 25 and 125 are powers of 5. As such, they can be written as the powers they are:

  25 = 5·5 = 5^2

  125 = 25·5 = 5·5·5 = 5^3

3 0
3 years ago
The only solution to |r+3|=1 is -2? true or false
ikadub [295]
True! The absolute Value is just the value of the digit. -2+3=-1. The absolute value of -1 is 1. There is no other combination of numbers that would lead to this answer.
7 0
3 years ago
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Kelly has made 16 out of 25 free throws. the probability that she will make her next free throw is 64%. Is this an Experimental
Anna71 [15]
Well percents are probability, and probability is similar to theory. So i think its theoritical probability.

Hope this helps.

7 0
3 years ago
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