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If 8 is an element in the domain of f(x) = 5x-18 / 2, what is the corresponding element in the range?

Due soon please hurry If 8 is an element in the domain of fx 5x18 2 what is the corresponding element in the range class=

Respuesta :

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The corresponding element in the range is ~

[tex] \boxed{11}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Just plug the value of element in domain in the given function ~

we get ~

  • [tex]f(x) = \dfrac{5x - 18}{2} [/tex]

  • [tex]f(8) = \dfrac{(5 \times 8) - 18}{2} [/tex]

  • [tex]f(8) = \dfrac{40 - 18}{2} [/tex]

  • [tex]f(8) = \dfrac{22}{2} [/tex]

  • [tex]f(8) = 11[/tex]

hence , the corresponding element in the range is ~ 11

[tex]\ \ \sf\longmapsto f(x)=\dfrac{5x-18}{2}[/tex]

Now

[tex]\ \ \sf\longmapsto f(8)=\dfrac{5(8)-18}{2}[/tex]

  • Simplify

[tex]\ \ \sf\longmapsto f(8)=\dfrac{40-18}{2}[/tex]

[tex]\ \ \sf\longmapsto f(8)=\dfrac{22}{2}[/tex]

[tex]\ \ \sf\longmapsto f(8)=11[/tex]