rotelle3
rotelle3 rotelle3
  • 25-06-2019
  • Mathematics
contestada

If f(x) =x^2 -2x and g(x) = 6x+4 for which value of c does (f+g)(x)=0

Respuesta :

SaniShahbaz
SaniShahbaz SaniShahbaz
  • 25-06-2019

Answer:

c = -2

Step-by-step explanation:

The two functions are given as:

f(x) =  x^2 - 2x

g(x) = 6x + 4

To find:

(f+g)(x) = 0

We can evaluate (f+g)(x) using the given functions.

We know that:

(f+g)(x) = f(x) + g(x)

= x²- 2x + 6x + 4

= x² + 4x + 4

Now, we have for x = c:

c² + 4c + 4 = 0

x² + 2c + 2c + 4 = 0

c(c+2) + 2(c+2) = 0

(c+2)² = 0

c+2 = 0

c = -2

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