For fx x 5x 8 and gx x 1x 6 find the following composi

For f(x) = x - 5/x + 8 and g(x) = x + 1/x - 6, find the following composite functions and state the domain of each a. f o g b. g o f c. f o f d. g o g a. (f o g)(x) =

Solution

r^th term of binomial expansion (a+b)ⁿ is T_r=ⁿC_r-1a^n-(r-1)b^r-1

8^th term of binomial expansion (5x -y⁴)¹³ is T₈=¹³C₇(5x)^13-(8-1)(-y⁴)^8-1

8^th term of binomial expansion (5x -y⁴)¹³ is T₈=¹³C₇5⁶x⁶(-1)⁷(y⁴)⁷

8^th term of binomial expansion (5x -y⁴)¹³ is T₈=-1716*15625x⁶y²⁸

8^th term of binomial expansion (5x -y⁴)¹³ is T₈=-26812500x⁶y²⁸