This table gives some values for the functions fix), glx) and their derivatives P, g'. 0--3 2-6 2 2 3-3 |-2 4 -5 Use the table to evaluate the following expressions a) (ag)4 b) (F -3g) (4) c) (g.F)' (6) d) (Fog)" () <) (goF)'(2) F) ) (3)

Q: find the range of the following function f(x) = -2sin((x/2) - (pi/3)) + 5 ANSWER CHOICES a)…

A:

Q: For what value of x is f ( x ) = 10 ? ( - 1, 6 ) ( 2, 8 ) ( 3, 10 ) ( 5, 16 )

A: We have to select one option which given 10 as the value of f(x) on putting value of x

Q: If a function f is continuous for all real numbers and if х2 + 2х- ах —2а f(x) = when x a, then f…

A:

Q: 13. (a) Find the inverse of the functio x) = 2x – 5 (b) Find f- (3)

A:

Q: For the function f(x) = 5x° -4x +2x + 3, findf "(x). Then find f"(0) and f"(4). f"(x) = Select the…

A: Double derivative

Q: What is the domain and range of the function f(x) = -3(2)*+1 – 4?

A:

Q: f(x) > 0 7+ 6+ 5+ Select one: O a. (-00, 3) O b. (3, 4) O c. (3,00) O d. [3, 4] 3+ -8 -7 -6 -5 -4 -3…

A: since from graph it clear that  f(x)&gt;0 means f(x) is positive for the   interval  range…

Q: Determine the domain and range of 1.) f-¹(x) = x-1/2 2.) f-¹(x) = x-4

A:

Q: For what value of x is f ( x ) = 0 ? ( - 2, 0 ) ( 0, 2 ) ( 1, 5 ) ( 3, 6 )

A:

Q: Consider the function y = (x) where f(x) = x³ +2x2 - 4x and g(x) = x2 + 2. Determine a) the domain…

A: The domain of definition of a function is a set of those values for which we can define a function.…

Q: 3) a) Find the real and imaginary parts of the following functions: Z-1 ^) f(2)= 2² +₁ Z +4 f(z) =…

A:

Q: Find three solutions for this function: X-4 f(x) = %3D 2х-8 O (( x, y):(1, – X0, 1)(1, –)} O ((x,…

A: The given function is:fx=x-42x-8

Q: The domain of the function 11x + 7 is I - 3 f(z) = %3D

A:

Q: known that the points (4, 7), (8, 11) and (14, 18) are on the graph of the function y = f(x). It is…

A: Given: (4,7),(8,11) and (14,18)   are on the graph of y=f(x)

Q: Two points that lie on the line 5x-3y = 15 are (3, 0 O (5, -3) O (5,3) O (0,5) 0 (0, -5)

A:

Q: 5) For functions f (x) = x² – 15x + 45 and g(x) = x - 9, find |(x)

A: f(x)=x2-15x+45, g(x)=x-9, (fg)(x)=?f(x)=x2-15x+45  g(x)=x-9  Now fgx=f(x)g(x)             [Quotient]

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.