Respuesta :

Answer:

16193

Step-by-step explanation:

  1. [tex]7(-7)^{4} -10(-7)^{2} +14(-7)[/tex] -26
  2. 7(-7)^4 =16807
  3. -10(-7)^2 = -490
  4. 14(-7)=-98
  5. -26
  6.   Add all the numbers up in bold

The value of the function at the given value of x = -7 is 16193

The function is given as:

[tex]\mathbf{f(x) = 7x^4 - 10x^2 +14x - 26}[/tex]

And the value of x is -7.

Substitute -7 for x in f(x)

[tex]\mathbf{f(-7) = 7(-7)^4 - 10(-7)^2 +14(-7) - 26}[/tex]

Open brackets

[tex]\mathbf{f(-7) = 16807 - 490 -98 - 26}[/tex]

Evaluate like terms

[tex]\mathbf{f(-7) = 16193}[/tex]

Hence, the value of the function for x = -7 is 16193

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