Given  f(x) =    7 − 14x  and  g(x) = −  3 x,  find the following. (a)     (g ∘ f)(x)       (b)    the domain of  (g ∘ f)(x)  in interval notation

Q: Find (fo g)(x) and (g o f)(x) and the domain of each. f(x) =x+9, g(x)= x- 9

A: Given the functions f(x)=x+9g(x)=x-9 To find (f∘g)(x) and (g∘f)(x) and find their domains

Q: Let f(x) = x2 + 2 and g(x) = 2x - 3. Evaluate (fo g)(x). (fo g)(x) =| (Simplify your answer.)

A: (fog)(x)= f(g(x)) f(x) = x^2 + 2  g(x) = 2x - 3

Q: Find (a) the domain of  f and (b) f-1 and its domain.   f(x)  = √ (3 -e2x)

A:

Q: Find and simplify f(a + h) − f(a) h,    (h ≠ 0) for the following function. f(x) = 6x2 − 4x + 9

A: Let's find.

Q: let f(x) = 7/x+5  find the difference quotient in the form f(x)-f(a) / x-a and simplify your answer…

A: Given, fx = 7x+5  We have to find difference quotient fx-fax-a

Q: For functions f(x) = 2x + 9 and g(x) = 3x − 5, find the following. (a) (f ∘ g)(x) =        (b) (g ∘…

A:

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.