If f(x) = 4x2 + 1 and g(x) = x2 – 5, find (f – g)(x).

Answer 1

Video Attached!

Answer 2

The difference between the two functions, (f - g)(x), is calculated by subtracting g(x) from f(x):

(f - g)(x) = f(x) - g(x)

Substitute the given functions into the equation:

(f - g)(x) = (4x^2 + 1) - (x^2 - 5)

Distribute the negative sign:

(f - g)(x) = 4x^2 + 1 - x^2 + 5

Combine like terms:

(f - g)(x) = 3x^2 + 6

So, (f - g)(x) = 3x^2 + 6.

Answer 3

(f-g)(x) = f(x)-g(x) = (4x²+1) - (x²-5) = 3x²+6