Example Given g(x)= a) g(2) x+3 if xs-4 -x-1 if-4

Q: Given f(x) 2x^3 + 8x^2- x-4 Find f(x).

A: By applying linear differentiation and by using power rule of differentiation

Q: 10x3-8x4+2x3 2 2 X→0 15x4+3x3-5x Evaluate Lim

A: We need to find the given limit limx→010x43-8x34+2x2315x24+3x23-5x

Q: √x - 1)(√x + 1)   ^ is this a polynomial? pls explain

A:

Q: Domain of:  Csc(x)+2

A:

Q: Evaluate using the identity a3 - b3 = (a-b)(a2+ab+b2)

A: It is given that, limx→-2x3+8x2+6x+8 and an identity is also given, which is such as,…

Q: h(x)=2x^4+5x^3+29x^2+80x-48  Zero:-4i The remaining zeros of h are

A: h(x) = 2x4 + 5x3 + 29x2 + 80x - 48 We know, if a complex number is a zero of a polynomial, then its…

Q: lim x → 0 X - 5 Зх + 2 х - 5 73.

A: We need to find the value of the given limit.

Q: f(x) = x^3 - 9x^2 - 45x - 27. Find the remaining zeros given that -3 is a zero of f(x). O (-3, -6 +…

A: Given f(x) = x3 - 9x2 - 45x - 27

Q: (a) Which function dominates as x- 00? 4* and x* 4*

A: The objective is to determine which function is dominates the other

Q: 2x if x< -5 f f(x) = { x² + 1 if - 5<x<3,what is the value of f(1) – f(5)? 10 - 3x if X23

A: f(x) =x2+1 ; -5≤x&lt;3x=1 lies in this interval f(1) = 12+1=2f(1)=2now, f(x) =10-3x ; x≥3x=5 lies in…

Q: f(x)=X^2-4x+1  Algebraically find the algebraic expression for the difference quotient from x to x +…

A: Find f(x+h) by plugging x+h in the expression of f(x)

Q: f(x) = 2 (x+4)²-3 for 4x - 3 for Find f(-5) x 1

A:

Q: Determine a rational expression that could have the simplified form q(x) =(x-8)/x restrictions x ≠…

A: Given,            The simplified form qx=x-8x restrictions x ≠ 0,+8,-8.To find : Determine a…

Q: Select the function the expression the product of (f * g)(x) = f(x)= -4x and g(x)= 2x-1 divided by…

A:

Q: find the derivative of the func N 4+22

A: Step 1:Step 2: Step 3: Step 4:

Q: Given the function h, find functions f and g such that h(x) = (go f)(x). h(x) = (6+ 4x)" a. f(x) =…

A:

Q: If h(x)= (-2+8x+8x^2) (7x+2x^6+7x^7) then h(x)=f(x)g(x) wher

A: Given that: h(x)=(-2+8x+8x2)(7x+2x6+7x7)

Q: d) lim √x²+x-3 - 2x

A: given limit

Q: Use algebraic manipulation to prove that (x + y) · (x + ) = x

A: We need to prove that:Solving the Left Hand Side,Now, right Hand side,