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Helga [31]
2 years ago
13

Khan academy

Mathematics
1 answer:
Vlada [557]2 years ago
4 0

By using the graph and the definition of inverse functions, we will see that:

g⁻¹(1) = 4.

<h3>What are inverse functions?</h3>

We say that two functions f(x) and g(x) are inverse if:

  • f(g(x)) = x
  • g(f(x)) = x.

Now, we know that graph of g(x) and we want to find the value of:

g⁻¹(1)

In the graph, we can see that:

g(4) = 1

Then we can replace it:

g⁻¹(1) = g⁻¹( g(4) ) = 4.

So we can conclude that:

g⁻¹(1) = 4.

If you want to learn more about inverse functions, you can read:

brainly.com/question/12220962

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Solve for (f+g)(5) if f(x)=6x+3 and g(x)=x-4 show you work please
Diano4ka-milaya [45]
There are two ways to do this.

The first way is to algebraically find (f+g)(x) first and plug in x = 5 later. Doing that method leads us to
(f+g)(x) = f(x) + g(x)
(f+g)(x) = 6x+3 + x-4
(f+g)(x) = 7x-1
(f+g)(5) = 7(5)-1
(f+g)(5) = 34

OR

you can compute f(5) and g(5) first, then add up those sub-results to get
f(x) = 6x+3
f(5) = 6(5)+3
f(5) = 33
g(x) = x-4
g(5) = 5-4
g(5) = 1
Adding up these results gives: (f+g)(5) = f(5) + g(5) = 33+1 = 34

Either way, the final answer is 34

7 0
3 years ago
PLEASE HELP I WILL MARK
lys-0071 [83]

Answer: 37 pieces of candy

Step-by-step explanation:

24-8.50 is 15.50 she wants to save 6.25, so, 15.50-6.25 is 9.25. 9.25 divided by the cost of each candy (0.25) is 37

6 0
2 years ago
Given ü=&lt;4,-1 &gt; and =&lt; 3,2 &gt;
Galina-37 [17]

Answer:

idk

Step-by-step explanation:

6 0
3 years ago
A square is inscribed in a circle . If the area of the square is 9 inch square what is the ratio of the radius of the circle to
OLga [1]

Answer:

  (√2)/2

Step-by-step explanation:

The ratio of the radius of the circle to the side of the inscribed square is the same regardless of the size of the objects.

The radius of the circle is half the length of the diagonal of the square. For simplicity, we can call the side of the square 1, so its diagonal is √(1²+1²) = √2 by the Pythagorean theorem. The radius is half that value, so is (√2)/2. The desired ratio is this value divided by 1.

Scaling up our unit square to one with a side length of 3 inches, we have ...

  radius/side = ((3√2)/2) / 3 = (√2)/2

_____

A square with a side length of 3 inches will have an area of (3 in)² = 9 in².

7 0
3 years ago
Given triangle ABC is congruent to DEC find m
ch4aika [34]

First, we know that angle B is congruent to angle E.

2x + 40 = 5x + 10

2x + 30 = 5x

30 = 3x

x = 10

Angle B and Angle E = 60 degrees

Angle C = 14 degrees

Remember that the interior angles of a triangle always add up to 180 degrees. Now that we know 2 of the 3 angles of these triangles, and because they are congruent, all that's left to do is find Angle A/D by setting up a simple equation.

60 + 14 + D = 180

74 + D = 180

D = 106

Angle D = 106 degrees

Hope this helps!

7 0
2 years ago
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