Let f(x) = x2 and g(x) = x + 5. write an expression that represents each composition:
a. g(f(4))
b. f(g(4))
c. (f ∘ g)(x)

(a) 21

(b) 81

(c)                  

Step-by-step explanation:

We have given the function

(a) We have to write the expression for given composition

Now first we find f(4)

So f(4) =

So

(b)

Now first we find g(4)

So g(4) =

So

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."