Given two functions f(x) = x² – 3x and g(x) : - = x + 13, find the following. a) f( – 2) + g( – 2) b) f( – 2) – g( – 2) : c) g( – 2) · f( – 2) =

Q: f(x) = x + 2x – 15 - g(x) = x + 5 Find () (2) The domain of (2) ( x) is x #

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Given the function f(x) = 8x² + 4x – 2. Calculate the following values: f(x + 1) = f(-x) =

A: Given,         f(x) = 8x2+4x-2  We need to find f(x+1) and f(-x).

Q: Evaluate the indicated function for f(x) = x2 + 1 and g(x) (f - 9)(2t) = x - 5. (f – g)(2t) = 41² –…

A: Here, First, evaluate the value of f(2t). Now, evaluate the value of g(2t).

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: Evaluate the function f(x) = ⟨x⟩ + 1 when x = −1, 2, and 32.

A: We have to Evaluate the function f(x) = ⟨x⟩ + 1 when x = −1, 2, and 3

Q: 7x 9. For the given functions, f and g, find (fog)(x) : f(x) = 7x²+4; g(x)=3x+2

A: To find the composite function

Q: Given the function f(x) = 7x? – 6x + 7. Calculate the following values: f( – 2) f( – 1) = f(0) :…

A: f(x) = 7x2-6x+7f(-2) = 7(-2)2-6x(-2)+7            = 7x4+12+7             = 28+12+7              =47

Q: If f(x)= 4x – 11, determine а. b. A-3) с. x if f(x) = 53

A:

Q: Given the following functions, find each of the values: f(x) = x² + 2x + 1 %3D g(x) = x + 1 (f +…

A:

Q: Determine the end behavior of the following function as x → –: 6x2 – 7x – 9 - t(x) - 3x4 – 2x3 |

A:

Q: Find f(12) - f(-12).

A: Given:f12-f-12fx=x+3        if  x≥58             if   x<5

Q: Given f(x) = x² – 2, find the following: %3D f(6) = f( – 15) = f( – 12) = f( – 6) = %3D

A:

Q: Define f(x ) = – x² and g(x) = 5x – 3. 4+x - - Find the value of (f – 9)(-1).

A: Proceed as shown below...

Q: Evaluate the function: S de x(x-2) -dx (x–1)³

A:

Q: Given the following functions, evaluate each of the following: f(x) = x² + 3x – 18 g(x) = x – 3 (f +…

A:

Q: ] If f(2x+3)=4x²-2x+3, find f(x).

A:

Q: Calculate the following values:

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…

A:

Q: Given the functions f (x) = 3- x² and g (a) = 2x – 1, calculate (go f) (-2).

A:

Q: Draw the function of y = x 2 / 3 + x2

A:

Q: DERIVE THE F. FUNCTIONS: s) y (x-3)(3x+4)(x²-2x+ 1)

A:

Q: For the function z = x3-2x2y2-2y2 Find Zx

A: Given,z=x3-2x2y2-2y2Differentiating both the sides partially w.r.t. xwe…

Q: Given the following functions, evaluate each of the following: f(r) = x + 3x 18 %3D g(x) = x + 6 (f…

A: As we know that; a). f+gx=fx+gxb). f-gx=fx-gxc).   f·gx=fx·gxd).    fgx=fxg(x) Given: fx=x2+3x-18 ;…

Q: Let f(x) = x² + x and g(x) = x – 5. Find each of the following: a. (f + g)(4) b. (f – g)(x) and (f –…

A: given f(x)=x2+x and g(x)=x-5 we need to find the