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trasher [3.6K]
3 years ago
10

If that is the wrong answer then what is the right answer .

Mathematics
1 answer:
trapecia [35]3 years ago
5 0
Well whats the question

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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
Sketch the graph of the given equation. y = x2 + 8x +15
Tamiku [17]
The pictures may be in a different order for you but it’s the 3rd graph where the minimum is (-4,-1)
3 0
3 years ago
Express the shaded area as a fraction, a decimal, and a percent of the whole.
horrorfan [7]
1/2 = fraction. 1.2= decimal 12%= percent
6 0
3 years ago
Read 2 more answers
Find the distance between the points.<br> (0,4) and (-3,4)<br> The distance is
Inessa [10]
<h3>Answer:  3 units</h3>

=============================================================

Explanation:

The y coordinates are identical, so we just need to focus on the x coordinates.

Going from 0 to -3 is a distance of 3 units. Drawing out a number line might help.

Or we could apply subtraction and absolute value

|x1-x2| = |0-(-3)| = |0+3| = |3| = 3

which is the same as

|x2-x1| = |-3-0| = |-3| = 3

The absolute value is to ensure the result is never negative. Distance is never negative.

Side note: if the y coordinates weren't the same, then we'd have to use either the pythagorean theorem or the distance formula.

4 0
3 years ago
11) The function: f(x)= x^2 – 2x + 3 belongs to<br> which family of functions?
Dmitrij [34]

Answer:

i believe a quadratic function

Step-by-step explanation:

quadratics are when an equation is x^2 so yeah (sorry if thats not what it's asking)

7 0
3 years ago
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