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.