Respuesta :

[tex] \underline{ \underline{ \boxed{\huge \frak{ {\color{orange}{ \: Answer :✓ } }}}}}[/tex]

Given Function :

[tex]\large {\color{lavender}↝ }\frak{\: \: \: \: \: \: f ( x ) = 2x² + 3x - 5} [/tex]

[tex] \: \: \: [/tex]

Put x = -4 in given function :

[tex] \: \: [/tex]

[tex]\large {\color{lavender}↝ }\frak{\: \: \: \: \: \: f ( x ) = 2x² + 3x - 5}[/tex]

[tex] \: \: [/tex]

[tex]\large {\color{lavender}↝ }\frak{\: \: \: \: \: \: f ( - 4 ) = 2( \: - 4 \: )^{2} + 3 ( - 4) - 5}[/tex]

[tex] \: \: [/tex]

[tex]\large {\color{lavender}↝ }\frak{\: \: \: \: \: \: f ( - 4 ) =2( \: 16 \: ) + 3( - 4) - 5}[/tex]

[tex] \: \: [/tex]

[tex]\large {\color{lavender}↝ }\frak{\: \: \: \: \: \: f ( - 4 ) =32 - 12 - 5}[/tex]

[tex] \: \: [/tex]

[tex]\large {\color{lavender}↝ }\frak{\: \: \: \: \: \: f ( - 4 ) =20 - 5}[/tex]

[tex] \: \: \: [/tex]

[tex] \red{\underline{ \boxed{\large {\color{lavender}↝ }\frak{\: \: \: \: \: \: f ( - 4 ) = 15 \: ✓}}}}[/tex]

[tex] \: \: [/tex]

Hope Helps!

Answer:

15

Step-by-step explanation:

Hello!

We can solve this question by plugging in -4 for x in the original expression, and simplifying.

Evaluate

  • f(x) = 2x² + 3x - 5
  • f(-4) = 2(-4)² + 3(-4) - 5
  • f(-4) = 32 - 12 - 5
  • f(-4) = 15

The value of the expression when x = -4 is 15.