Respuesta :

mhanifa

Answer:

  • D) 5(4) - 6 + 5(4) - 6

Given function

  • k(x) = 6x - 6

To find

  • Equivalent expression of (k + k)(4)

Solution

Use the sum of functions definition:

  • (f + g)(x) = f(x) + g(x)

In our case both f and g are represented by k, so the sum of functions is:

  • (k + k)(x) = k(x) + k(x)

Substitute the function values to get:

  • (k + k)(4) =
  • k(4) + k(4) =
  • 5(4) - 6 + 5(4) - 6

This is matching the answer choice D

semsee45

Answer:

5(4) - 6 + 5(4) - 6

Step-by-step explanation:

[tex]\textsf{Given}:\quad k(x)=5x-6[/tex]

[tex]\begin{aligned}(k+k)(x) & =k(x)+k(x)\\\\\implies (k+k)(4) & =k(4)+k(4)\\& = \left[5(4)-6\right]+\left[5(4)-6\right]\\& = 5(4)-6+5(4)-6\end{aligned}[/tex]

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