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Dafna1 [17]
3 years ago
15

The point (-5,3) lies on the graph of f(x). Which of the following points lies on f-1(x)?

Mathematics
1 answer:
Firlakuza [10]3 years ago
3 0

Answer:

(3, -5).

Step-by-step explanation:

By the definition of inverses:

\text{If $f(a) = b$, then $f^{-1}(b)=a$}

In other words, the inverse of a function returns the input when given the output of the original function.

We know that the point (-5, 3) lies on the graph of f(x). In other words:

f(-5)=3

Then by definition:

f^{-1}(3)=-5

So, the point (3, -5) must lie on the graph of f⁻¹(x).

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1. There are two differnt maps of Ohio. The scale on the first map is 1 cm to 10 km. The distance from Cleveland to Cincinnati i
xeze [42]

Answer:

1.  0.8 cm

2.  1.6 cm

Step-by-step explanation:

1.

The scale for 2nd map is 1 cm to 50 km, that means "1 cm on map" is "50 km in real life".

We already know distance from Cleveland to Cincinnati is 40 km, which is less than 50, so we know the distance on map would be less than 1 cm.

So we set up ratio and figure out (let x be distance on map from Cleveland to Cincinnati):

\frac{1}{50}=\frac{x}{40}\\50x=40\\x=\frac{40}{50}\\x=0.8

Hene, 0.8 centimeters would be the distance in 2nd map

2.

A scale of 1:50 means 1 cm equal 50 cm

So, 0.8m would be

0.8 * 100 = 80 cm

Hence, 80 cm would be represented by 80/50 on the map, that is:

\frac{80}{50}=1.6

That is 1.6 centimeters

7 0
3 years ago
kofi and kojo were given 380 to share .kojo had 75 more than kofi. If kofi share is x find an expression for kojo share​
AleksAgata [21]

Answer:

227.5

Step-by-step explanation:

x=Kofi

x+75=Kojo

   x+x+75=380

    2x+75=380

          2x=305

             x=152.5

       Kojo=152.5 plus 75

               227.5

4 0
3 years ago
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