If f(x) is defined as follows, find (a) f( -2), (b) f(0), and (c) f(2). x? f(x) = { 0 if x<0 if x=0 3x + 3 if x>0 (a) f( – 2) = D (Simplify your answer.) (b) f(0) = |(Simplify your answer.) (c) f(2) = (Simplify your answer.)

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: Find and simplify the difference quotient f(x)=x² + 4x-5 OA. 2x+h-5 2x²+2x+2xh+h²+h-10 h OB. OC. 1…

A:

Q: Find the following for each function:(a) f(0)  (b) f(1)  (c) f( - 1)  (d) f( - x)  (e) - f(x)  (f)…

A: 43.  f(x)=3x2+2x-4 (a) f(0) =-4(b) f(1)=3+2-4=1(c) f(-1)=3-2-4=-3(d) f(-x)=3x2-2x-4(e)…

Q: Let f(x) = x² – 2r and g(x) = x + 3. Find each of the following: a. (f + g)(5) b. (f - g)(x) and (f…

A: The given functions are, fx=x2-2xgx=x+3 a. Fiding the function f+g5…

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 and simplify f(a + h) – f(a) (h + 0) h for the following function. f(x) = 8x2 - 4x + 7 sh? -…

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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: If f(14)=27, find f-1(27)

A: If f(x) = y is any function and f is one-one then, =&gt; f-1(y)=x

Q: Let f(x) = 4x – 1 and g(x) = x + 4. Find (fo g)(6). Then (fo g)(6) = | - (Simplify your answer.)

A:

Q: For f(x) = x +1 and g(x) = 2x + 2, find the following functions. a. (fo g)(x); b. (g o f)(x); c. (fo…

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Q: 5 and g(X) = 3X the following functions. a. (fo g)(x); b. (g o f)(x); c. (fo g)(- 1); d. (go f)(- 1)

A: Given: fx=x-5 gx=3x2-1 a) f∘gx is given as, f∘gx=fgx               =f3x2-1               =3x2-1-5…

Polynomials

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