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: Draw the hyperbola with the equation: 3x2 − 2y2 + 6x − 8y = 6.

A: Given the equation of the hyperbola : 3x2-2y2+6x-8y=6.

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

A:

Q: For f(x) = x- 3 and g(x) = 5x2 - 3, find the following functions. a. (fo g)(x); b. (go f)(x); c. (fo…

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Q: This is the final answer to the problem: (a) f (g(x))= + Domain: + (b) g(f (x)) = + Domain:

A: Topic = Functions The domain of a function is the complete set of possible values of the independent…

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

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Polynomials

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