Given f (x) = 3x +1 and g (x) = 5x - 4, find: %3D %3D (a) (f + g)(x): [ Select] (b) (f – g)(x): [ Select ] (c) (fg)(x): [ Select ] (d) (f/g) (x): [ Select ] (e) The domain of : [ Select ]

Q: Let f(x) = x² + 6x + 2

A: Function is given by f(x) = x2 +6x + 2 To evaluate : fx+h - f(x) and fx+h - f(x)h

Q: Consider the function f(x) = = x² + 7x + 13 x + 4

A: given function f(x)=x2+7x+13x+4

Q: Convert this equation to standard form: f(x) = (2x + 1)(x - 5) Of(x) = 2x² - 11x-5 Of(x) = 2x² + 1x…

A:

Q: Let f(x) = 6x + 12 and g(x) = x² – 4. - Find the domain of the following fur (a) (g - f)(x) domain…

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Q: Find the domain of f(x) 2x / x2+1

A: The given function is,

Q: Evaluate the function for fx) = x + 3 and g(x) = x2 – 2. (fg)(8) (fg)(8) =

A: The functions f(x)=x+3 and g(x)=x2-2. We have to find fg8=?

Q: For g (x) = x² + 8x + 4, find and simplify g(1 + h) – g(1). (a) g(1+h) = (b) g(1) = (c) g(1+ h) –…

A: Given,       g(x)=x2+8x+4

Q: Add the functions: f(x) + g(x) where f(x) = -3x + 2 and g(x) = 2x – 4, %3D %3D h(x) = f(x) + g(x) =…

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Q: if f(x-1)= x- 16x+3 It Find (x+)

A:

Q: Find f(3) for the given function. f(x) 3D (x- 2)(x- 4)(x+5) Type your numeric answer and submit

A: f(x)=(x-2)(x-4)(x+5)Substitute x=3 in f(x)

Q: Subtract the functions: f(x) - g(x) where f(x) = -3x + 6 and g(x) = 4x - 2 h(x) = f(x) – g(x) =…

A: Solution is given below...

Q: If f(x) = (5x + 16) and g(x) = (x – 12)3, find all values of x for which f(x) = g(x).

A: Given ,f(x)=(5x+16)13,and g(x)=(x-12)13 To find: All values of x for which f(x)=g(x). Solution:…

Q: When f(x) = x² + 4x + 3, evaluate f( – 1) )

A:

Q: Let f(x) = x* + 5x³ + 8x² + 3x.

A: The power derivative of y=xn  is given by, y'=dydx=ddxxn =nxn-1 Linear property of differentiation:…