For the function h(x) = 9 + 6x , what is the domain of function h if the range is {-12, -3, 15, 24}? TIMED!WILL GIVE BRANLIEST!


A. {−3.5, −2, 1, 2.5}


B. {−3, 6, 24, 33}


C. {−63, −9, 99, 153}

D. {−0.5, 1, 4, 5.5}

Respuesta :

Answer:

A. {−3.5, −2, 1, 2.5}

Step-by-step explanation:

Remember that the range is the possible values for Y in any given function, so in this case, we are given the Y values and we have to solve the function for x:

y=9+6x

6x=y-9

[tex]x=\frac{y-9}{6}[/tex]

So we just insert the values, the first one being -12.

[tex]x=\frac{y-9}{6}\\x=\frac{-21}{6}\\x=\frac{-12-9}{6}\\x=-3.5[/tex]

So since from the options only A has -3.5 as an option that's the correct answer.