Question

Help hurry!!! please

Answer 1

The domain values are

1 ⇒ A

3 ⇒ C

4 ⇒ D

5 ⇒ E

7 ⇒ G

Explanation:

In the function f(x);

• The domain is the values of x

• The range is the values of f(x)

∵ f(x) = -2x + 7

∵ The range is {5, 1, -1, -3, -7}

∴ f(x) = 5, 1, -1, -3, -7

→ To find x substitute f(x) by its values

∵ f(x) = 5

∴ 5 = -2x + 7

→ Subtract 7 from both sides

∴ 5 -7 = -2x + 7 - 7

∴ -2 = -2x

→ Divide both sides by -2 to find x

∵
`(-2)/(-2)` =
`(-2x)/(-2)`

∴ 1 = x

∵ f(x) = 1

∴ 1 = -2x + 7

→ Subtract 7 from both sides

∴ 1 -7 = -2x + 7 - 7

∴ -6 = -2x

→ Divide both sides by -2 to find x

∵
`(-6)/(-2)` =
`(-2x)/(-2)`

∴ 3 = x

∵ f(x) = -1

∴ -1 = -2x + 7

→ Subtract 7 from both sides

∴ -1 -7 = -2x + 7 - 7

∴ -8 = -2x

→ Divide both sides by -2 to find x

∵
`(-8)/(-2)` =
`(-2x)/(-2)`

∴ 4 = x

∵ f(x) = -3

∴ -3 = -2x + 7

→ Subtract 7 from both sides

∴ -3 -7 = -2x + 7 - 7

∴ -10 = -2x

→ Divide both sides by -2 to find x

∵
`(-10)/(-2)` =
`(-2x)/(-2)`

∴ 5 = x

∵ f(x) = -7

∴ -7 = -2x + 7

→ Subtract 7 from both sides

∴ -7 -7 = -2x + 7 - 7

∴ -14 = -2x

→ Divide both sides by -2 to find x

∵
`(-14)/(-2)` =
`(-2x)/(-2)`

∴ 7 = x

∴ The domain of f(x) is {1, 3 , 4, 5, 7}

The domain values are

1 ⇒ A

3 ⇒ C

4 ⇒ D

5 ⇒ E

7 ⇒ G