1. find f'(z) when (a) f (z) = 3z² – 2z + 4; (b) f(z) = (1 – 4z?,³ ; - Z - 1 (1+ z?)4 (z # 0). (c) f(z) = (d) ƒ (z) = 22 +1 (7 # -1/2);

Q: · (x−1)² √x d) f - dx =

A: To evaluate the following integral.

Q: 7) f(x) = x² – 3.x; Find f(-8) |

A:

Q: Calculates  ∫ln(x2+bx+c) note: 4c−b2<0.

A: Consider the given integral   Find the integration of first team,

Q: f(x)=2-x/3x+4          1. f(2)  2. f(0)

A: 1) Plug x=2 to find f(2) and simplifyAnswer(1): 0

Q: The domain of the function f(x)=√12+4x−x^2 is the closed interval [A,B] where A= and B=

A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: (b) (x*y2,1/3(xy) -1/3 X + 0, y # 0

A: We will simplify the expressions by writing the exponents with equating the bases.

Q: If f(x) = 5x+ 6-X, what is the ordered pair for x = 0 ? O (0,-1) O (0,10) O (6,0) (0,6)

A: Given that  f(x)=5x+6-x^2  To find the order pair at x=0

Q: a) f(x) = {(3, –4), (2, 1), (–9,–3)} |

A: We have to find domain and range

Q: 5. For f(x) = 2x - 1 and g(x) = x² - 2x, find: (A) f(-2) + g(-1) (C) g(2) f(3) (B) f(0) g(4) f(3)…

A:

Q: Find f(g()) and g(f(2)) for the pair of functions. f() =+1 g(2) 34x-17 flo(2)) = %3D 9(f(=)) = %3D

A: Given, f(x) = x + 1  g(x) = 4x - 17

Q: CLX 5) Let f(x)=√√x³- 4x + 1, f(3) = 4, find (f¹)'(4).

A:

Q: (х, у) — ху? + yex- +5

A: we have to find fxx and fyy.

Q: f(x)=(5x)/(3x-11) find x and y intercepts.

A: The given function is  y = f(x) = 5x3x-11·

Q: 32. For the function f(x) = 3X *5 Find: f (0) f(-2) f (3)

A:

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.