B. What is the domain of f (x) = 9 – x²? =. f(x) 2 9 S. All real numbers H.-3 < x< 3 J. xS9 O F

Q: Find (f- g)(x) when f(x) = 7x - 8 and g(x) = 2x - 2. O A. - 5x +6 О В. 5х-6 ОС. 9х -10 O D. 5x - 10

A: fx=7x-8gx=2x-2To find:f-gx

Q: Describe the concavity for the function f(x) = -a³ +4x² – 5x + 6. The graph is concave down for the…

A:

Q: Simplify the function. f(x) =  x2 + 5x − 24/x2 − 9   List any restrictions on the domain. (Enter…

A: f(x)=x2+5x-24x2-9

Q: Let f (x) = (x − 100)2 + 1000. What will the display show if you graph f in the viewing rectangle…

A:

Q: Let f(x) = 3x – 8 and g(x) = x + 2. Find the value of each of the following a. (f + g)(-5) f(2) b.…

A: Put the values in functions and determine the final values

Q: Which of the following is not a possible zero of f (x)=2x-5x+12?

A:

Q: Find functions f and g so that f • g = H. 73) H(x) = (5 – 2x3,2

A: Given H(x)= (5-2x3)2

Q: Let f(x) = 4x + 5 and g(x) = 3x² +8. Evaluate (f+g)(1). 99 O 27 35 O 20

A:

Q: Select all of the statements that are true for the functi O f(x) is shifted 4 units to the right. If…

A:

Q: Which function has the same graph as f(x)% 3 214x- 6| + 18? O A (x) = 214x - 6|- 18 O B. (x) = 4|2x…

A:

Q: Find all numbers at which f is discontinuous. х - 4 3 a. f(x)= b. f(x)= 2 x* — 4х —12 2 x +x – 6 |

A: Given information:-

Q: 12. Find the value of x so that f(x) = 7. YA 6. 4. 21 9. 2

A:

Q: If f(x) = x2 – 6x and g(x) = 6 – x³, evaluate the following. %3D a. (f+ g)(- 2) b. (g - )(- 4) c. (f…

A: The given functions are f(x)=x2-6x  &amp;  g(x)=6-x3

Q: x2 + 7x – 5 On what domain is the function f(x) continuous? x + 6

A: given f ( x) = x2+7x-5x+6 this function is not defined for x=-6 since denominator becomes zero…

Q: Find fo go h. f(x) = √√x-3, g(x) = x², h(x) = x³ + 4

A: f(x)=x−3,g(x)=x2,h(x)=x3+4

Q: Let f(x) = 10 − 3x2. Find each function value. a. f(2)   b. f(−4)   c. f(x − 1)

A: Since, we have f(x)=10-3x2(a)f(2)=10-3(2)2 ⇒f(2)=10-3(4)=10-12⇒f(2)=-2

Q: f The domain where f(x) = 2(x + 1)(x-2)(x+3) is positive is Select one: a. x > 0 b. x2

A:

Q: Differentiate the function. f(x) = 16{x – 3 +2x

A: Given   f(x) = 16 x4-3+2x     now differentiating 1 w.r.t. 'x ' , we get    f'(x) = ddx16x14-3+2x…

Q: Let f(x)=x+2 and g(x) = 2x². Perform each fun then find the domain of the result. 8. (f+g)(x) 9.

A:

Q: Which function had zeros of -4 and 2? O f(1) = a² + 7x – 8 O g (z) = a – 7x – 8

A:

Q: 3. Determine the monotonicity of the following function: f(x) = -x3 – 3x + 6

A:

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.