Question

4. REVIEW: Let f(x) = 2^x and g(x) = √(x − 7). Find and simplify completely.



a. )( f(3+h)-f(3) )/8h


b.) (g ◦ f)(5) / (f ◦ f)(3)

Answer 1

f(3+h) = 2^(3+h) = 8*2^h
f(3) = 2^3 = 8
...

(g◦f)(5) / (f◦f)(3)
= √(f(5)-7) / 2^f(3)
= √(32-7) / 2^8
= 5/64

Answer 2

Who the hell is on here at 1:30 in the morning?