if lim f(x) = 1 and lim g(x) = -9, what is the value of lim g(x) - f(x)? x→-5 x→-5 x→-5

Answer:

-10

Explanation:

Step1: Apply limit - difference rule

$\lim_{x\rightarrow - 5}[g(x)-f(x)]=\lim_{x\rightarrow - 5}g(x)-\lim_{x\rightarrow - 5}f(x)$

Step2: Substitute given limits

$=-9 - 1$

Step3: Calculate the result

$=-10$