[₁ f f(x) dx True O False If $190² ≤ g(x) da, then f(x) ≤ g(x) on [0, 1].

Q: For all functions f and g, f o g(x) = go f (x). O True O False

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Q: Define f (x) = 4+ x – x² and g(x) = 5x – 3. Define f(x) - - (f o g)(x) = (go f)(x). True False

A:

Q: find functions f and g so that f ∘ g = H.

A: H(x)=2x+1

Q: (b) Let the function f: R → R defined by 3x for x > 3 2x2 + 3 for - 2 < x< 3 3 x? – 7 for x<-2 f(x)…

A:

Q: a). find f o g b.) find g o f

A: Given that : The equation of the functions f(x) = 1x2+ 4  and g(x) = x - 2 .

Q: Find the value of c so that the function x² + cx if x 1 is continuous for all real numbers.

A:

Q: Consider the function f (x) = 3 – |x – 4|| a. Graph the function and verify that f(1) = f(7) b. Note…

A: The given function is f(x)=3-x-4 The function can be redefined as  f(x)=x-1,      x&lt;47-x,…

Q: a. Determine whether f(x) = 5/(x+1) is a one-to-one function from R to R, if not, give a counter…

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Q: 3. Consider the relation f (x) = 2x² – 4. Find the f(x). Be sure to use proper notation.

A:

Q: Determine F(x) if, for all real x and y, F(x)F(y) – F(xy) = x + y.   Hint:  What could F(1) be?

A: Consider the provided question, We have to find F(x).

Q: find functions f and g so that f ∘ g = H.

A: It is given that;  H(x)=x2+1 and; (f∘g)(x)=H(x)

Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: Suppose f is a real function satisfying f(x + f(x)) = 4ƒ(x) and ƒ(1) = 4. What is ƒ(21)? f(21)=

A: Suppose f is a real function satisfying f(x+ f(x))= 4f(x) and f(1) = 4, what is f(21)?

Q: 1. Let f(r) and g(a) 4x + 1. 4 Then (f o g)(6) (ƒ o g)(x)

A: We have to find function

Q: What is the physical meaning of |xd(f)| and <Xd(f)?

A: The physical meaning of |x d(f)| and &lt;X d(f) will be-  |x d(f)| =   It defines (gives) the value…

Q: Let f(x)=x2, g(x)=2x+5, and h(x)=x2-1 a. h[f(-2)] b. f[g(x-1)]

A: Given that , fx=x2 gx=2x+5 hx=x2-1

Q: Express the function H in the form fo g. (Enter your answers as a comma-separated list. Use…

A: we have to find the composition function

Q: Let f(x) = 1 and g(x) +4. Then (fo g)(æ) (go f)(x) =

A: (f o g)(x) = x/6 (g o f)(x) =(4x -10)/(x-4)

Q: Define H(x) as a piecewise defined function and evaluate H(1), H(2), H(3), H(0) and H(-2) given by,…

A: We know, x = -x,x&lt;0x,x≥0