a) f(x) < 0  b) f(x) ≤ 0 c) f(x) > 0 d) f(x) ≥ 0

Q: If f(x) = (x − 2) 5(2x+1) 6, then what is f"(0) ?

A:

Q: Let f(x, y) = 125-3x²-2y2² Evaluate f(0, 3)

A: f(x,y)=sqrt(125-3x2-2y2)Find f(0,3)

Q: 8) For f(x) = x +1 and g (x) = 5x + 4, determine the following. a) 4 points h (x) = (f •g)(x). b) 4…

A:

Q: 8. Find f-1 (x) for f (x) = 2-4

A:

Q: 2.if f (x) = x2 + 3, with domain R then f(x) has f(x) %3D O T F

A: Here the given function is f(x)= x2+3 with domain R We need to find it has inverse or not.

Q: Let f(x)= x + 19 X - 16 Then f-1(x) = %3D

A:

Q: If f(x) = x2 - x/ x - 1 and g(x) = x Is it true that f=g?

A: given  f(x)=x2-xx-1g(x)=x

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: 7, Determine algebraically if each function is even odd, or neither. a) f(x) = |2x| b) f(x) = (-x)²…

A:

Q: Find the domain of f

A: We have to find the domain of the function: fx=x+2+2-x We know for any square root function y=fx it…

Q: Let f(x)=x−3x−−√3f(x)=x−3x3 Can you please show me how to find what values are concave up or down?

A:

Q: Which of these functions has a y-intercept of (0,9) ○ A) ƒ(x) = 9x² + 4x + 2 B) f(x) = 9(x-3) (x +…

A:

Q: Suppose f(x) = a and g(x) z2-100 Find a) f[g(x)] and b) domain of f[g(x)]

A:

Q: 4. For f(x) = x² – 3x, evaluate a) f(2) [2,3,3] c) the value of x when f(x) = 4 b) f(m + 1)

A: Given,              f(x)=x2-3x

Q: If f(x) = x + 9 – x and g(u) = u + V9 – u, is it true that f= g? Yes No

A:

Q: Given the function: f(x) = (x² + 5x-2, -4<x<-1 7x+|-x], −1<x<3 i. List ALL the elements of the…

A:

Q: Find where f(x) = 1-ax x(x-a)(x+b) is discontinuous.

A:

Q: Why is fnot a function from R to R if a) f(x) = 1 f(x) is not a function because when x = is…

A: In this question, we will show that the given f is not a function.

Q: Show that the function f(x)=√x+1 is differentiable in 2 = 2 but not differentiable in x = −1.

A: Given data:- The given function is, fx=x+1

Q: Find a,b to continue the function at x=3 if: x > 3) x = 3 x < f(x) = ax + b 2ab + 1 bx - a +3 3)

A:

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

A:

Q: 3. Let f(x) = { ,x<2 ax + b, x22 Find a and b so that f (2) exists.

A: To find the value of a and b

Q: 8. Simplify f(x + h) - f(x), where: a) f(x) = 2x + 3 b) f(x) = 1 c) f(x) = x² %3D 1 2.

A: a) f(x)=2x+3b) f(x)=x2c) f(x)=11

Q: Express the function in the form fog. (i) F(x) = (2r + r*)ª. (ii) F(r) = %3D 1+ VE

A: Answer

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.