Find (f-g)(-3) when f(x) = x + 3 and g(x) = sq. rt. x - 7
To find (f-g)(-3), we need to subtract g(-3) from f(-3).
First, let's find f(-3) using the function f(x) = x + 3. We substitute -3 for x in the equation:
f(-3) = -3 + 3 = 0.
Next, let's find g(-3) using the function g(x) = √x - 7. We substitute -3 for x in the equation:
g(-3) = √(-3) - 7 ≈ √9 - 7 ≈ 3 - 7 = -4.
Now that we have f(-3) = 0 and g(-3) = -4, we can find (f-g)(-3) by subtracting these values:
(f-g)(-3) = f(-3) - g(-3) = 0 - (-4) = 0 + 4 = 4.
Therefore, (f-g)(-3) equals 4.