gray4675

04.02.2021 •

Mathematics

23. The triangles shown below are similar. Solve for x. 2x + 7
27
4x + 1
45
What’s x?

Solved

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Ответ:

maustin5323

29.10.2022

Mathematics

Given:

The function is:

$f(x)=\{(1,0),(2,3),(3,6)\}$

The given function is:

f(x)=1-2x

The range of this function is $\{-3,-5,-7\}$ .

To find:

The range of first function.

The domain of second function.

Solution:

Domain is the set of input or x-values and range is the set of output or y-values.

We have,

$f(x)=\{(1,0),(2,3),(3,6)\}$

Here, the x-values are 1, 2, 3 and the y-values are 0, 3, 6.

Therefore, the range of the given function is $\{0, 3, 6\}$ . Hence, the correct option is C.

The given function is:

f(x)=1-2x ...(i)

The range of this function is $\{-3,-5,-7\}$ .

Putting f(x)=-3 in (i), we get

-3=1-2x

-3-1=-2x

$\dfrac{-4}{-2}=x$

2=x

Similarly,

Putting f(x)=-5 in (i), we get

-5=1-2x

3=x

Putting f(x)=-7 in (i), we get

-7=1-2x

4=x

The domain of this function is $\{2,3,4\}$ . Hence, the correct option is A.

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23. The triangles shown below are similar. Solve for x. 2x + 7 27 4x + 1 45 What’s x?