1. Refer to the given functions f, g, and h to evaluate the functions for the given values of x. f(x) =x-3x+1 8(x)= 8-x 2 h(x)= *+1 a. (S-g)(-1) b. (g h)(0)

Q: Evaluate  f(−7), f(0), and f(3)  for the piecewise defined function. f(x) =    x + 2     if x < 0…

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Q: Determine  for the following function:  g(2.4)

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Q: Find functions f and g so that fog3H. H(x) = (9x+ 7) Choose the correct pair of functions. O A. Ов.…

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Q: 1. f(x) = x 3x-1

A: Domain of a function is defined as the values of x for which the function is defined.

Q: For f(x)=x+1 and g(x)= 2x +5, find the following functions. a. (fog)(x), b. (g of)(x), c. (fog)(-2),…

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Q: Which of the following is equivalent to f(x + h) – f(x) h for the function f(x) = 4-3x2? -6x 3h | 6x…

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Q: If f(x) = x2 + 3x – 5 and g(x) = 3x – 7, find the following function. fog

A: f(x) = x2 +3x -5  g(x) = 3x -7

Q: 6.) Evaluate f(-3) for f(x) = x³ + 3x + 17

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Q: Refer to the functions f and g and evaluate the functions at x =-2. f = {(2, -1), (1, 1), (-4, -6),…

A: (f+g)(-2)=f(-2)+g(-2)  Substitute   f(-2)=-8  ,    g(-2)=-5in the above equation

Q: 5 Let f(x) = - and g(x) 7 Find each of the following: x - 8 b. the domain of f – g. | а. (f — g)(x)

A: Assign the function f=5x=5x-gxxAssign the function g=7x-8=5x-7x-8=-2x-40xx-8

Q: If f(x) = 2x2+x +1, and g(x)=x is an identity function then (f + g)(1) = O a. - 4 O b. -8 O C. 4 O…

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Q: Determine h(x²) for the following function. 3x h(x) = %3D x2 + x- 6

A: Solving the problem by jus finding the value of h(x2).

Q: 2. Evaluate the function f (x) = x² - 3x + 12 at the following values or (a) f(-5) expressions. (b)…

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Q: Write the function as a composition of two functions. 1 2 y= (x² +8x) ³ - 7(x² +8x)³ +3 x² + 8x) ³…

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