Question

which values are in the domain of the function F(X)= -6x + 11 with a range of (-37 ,-25, -13, -1)? select all that apply a)1b)4c)8d)5e)2f)6g)3h)7

Answer 1

Answers:

2

4

6

8

Step-by-step explanation:

The domain of the function with a range {-37, -25, -13, -1} will be the set of values of x when f(x) is -37, -25, -13, and -1. So, to find the correct answers, we need to solve the following equations:

If f(x) = -37, we get:

`\begin{gathered} f(x)=-6x+11 \\ -37=-6x+11 \\ -37-11=-6x+11-11 \\ -48=-6x \\ (-48)/(-6)=(-6x)/(-6) \\ 8=x \end{gathered}`

If f(x) = - 25, we get:

`\begin{gathered} -25=-6x+11 \\ -25-11=-6x+11-11 \\ -36=-6x \\ (-36)/(-6)=(-6x)/(-6) \\ 6=x \end{gathered}`

If f(x) = - 13, we get:

`\begin{gathered} -13=-6x+11 \\ -13-11=-6x+11-11 \\ -24=-6x \\ (-24)/(-6)=(-6x)/(-6) \\ 4=x \end{gathered}`

If f(x) = -1, we get:

`\begin{gathered} -1=-6x+11 \\ -1-11=-6x+11-11 \\ -12=-6x \\ (-12)/(-6)=(-6x)/(-6) \\ 2=x \end{gathered}`

Therefore, the domain is the set of the values of x: {2, 4, 6, 8}