Help me please I need help to graduate

C

Step-by-step explanation:

f(x) = (x - 16)/(x² + 6x - 40)

Factors of the denominator:

x² + 6x - 40

x² + 10x - 4x - 40

x(x + 10) - 4(x + 10)

(x - 4)(x + 10)

(x-16)/[(x - 4)(x + 10)] + 1/(x+10)

LCM: (x+10)(x-4)

[(x-16) + (x-4)]/(x - 4)(x + 10)

(2x-20)/(x - 4)(x + 10)

(2x-20)/(x² + 6x - 40)

C

Step-by-step explanation:

Our functions are:

We need to find a common denominator so factor the denominator of f(x):

Now we see that to make g(x) have the same denominator, we need to multiply the numerator and denominator by x - 4:

Now, add these two:

f(x) + g(x) =

The answer is thus C.

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i