6. If f(x)=cot(0) +4 is horizontally compressed by a factor of ½ and horizontally shifted left, which of 3 the following could represent g(x), this new function? A. g(x)=cot(20+2)+4 C. g(x)-col(+)-4 B. g(x)=cot+)+4 D. g(x) = cot(+)-4 A B C D E: None of the Above 1

The question says: "Find the difference quotient for the given function. Simplify your answer." f(x)=x3, (f(a+h)-f(a))/h   I got "3a2+3ah+h2," but I would like to double check this answer....

Write the function as a composition of two functions. 2 3-(x²+6x)³-3(x²-6x)³+6 y= (x²+6x)³-3(x²+6x) ³ +6 Choose the correct answer below. ○ A. If f(x) = x²+6x and g(x)=x ов. о с. 1 2 1 2/3 3x3 +6, then y f[g(x)]. 2 If f(x)=x -3x3 +6 and g(x)=x+6x, then y = f[g(x)]. 3 3 2 2 If f(x)=x³-3x² +6 and g(x) = x²+6x, then y = f[g(x)]. 1 OD. If f(x) = 6x³ 2 -18x3 +6 and g(x) = x², then y = f[g(x)].

This might be a long question, so I'll separate it as (a), (b) and so on. If you can find the indicated composite function and its domain for the following. The equation is sent in the picture. (a) (f o g) (x) = and the domain for it. (b) (g o f) (x) = and the domain for it. (c) (f o f) (x) = and the domain for it. (d) (g o g) (x) = and the domain for it.