Respuesta :

xKelvin

Answer:

[tex]\displaystyle f(-4) = 52[/tex]

Step-by-step explanation:

We are given the function:

[tex]f(x)=2x^2-3x+8\\[/tex]

And we are asked to find f(-4).

To find f(-4), substitute -4 for x. Therefore:


[tex]\displaystyle \begin{aligned} f(-4) & = 2(-4)^2-3(-4)+8 \\ \\ & = 2(16) + (12) + 8 \\ \\ & = 32 +12 + 8 \\ \\ & = 52 \end{aligned}[/tex]

In conclusion:

[tex]f(-4) = 52[/tex]

Sarah06109

Answer:

f(-4)=52

Step-by-step explanation:

We are given the function:

[tex]f(x)=2x^2-3x+8[/tex]

We want to find f(-4), so we must substitute -4 in for x.

[tex]f(-4)=2(-4)^2-3(-4)+8[/tex]

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.

Evaluate the exponent first.

⇒ (-4)²= -4*-4 = 16

[tex]f(-4)=2(16)-3(-4)+8[/tex]

Multiply 2 and 16.

⇒ 2*16=32

[tex]f(-4)=32-3(-4)+8[/tex]

Multiply -3 and -4.

⇒-3*-4=12

[tex]f(-4)=32+12+8[/tex]

Add the three numbers together.

[tex]f(-4)=44+8\\\\f(-4)=52[/tex]

f(-4) for the function f(x)=2x²-3x+8 is equal to 52

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