If f(x) = -2x + 7 and g(x) = x² – 2, then f(g(3)) is equal to

Q: Show that the equation f(x) =x+3x-1%=Ø %3D has at least one solution,

A:

Q: Let Ax) = x³ + 9x² – 6x + 2. Find f (x) and f"(x), and then solve f"(x) = 0.

A:

Q: Given f(x)=2x^2+1 and g(x)=8x-9 Solve for (fof)(-2)=

A: Given: f(x)=2x2+1 and g(x)=8x-9. Now, we need to solve for (fof)(-2).

Q: -x³ (7x + 1) (3x + 6)5 f (x) = In

A:

Q: If f(x) = 3x+1 and g(x) = 5x^2 then (fog)(x) is

A: fx=3x+1  and  gx=5x2

Q: 2. Supposef(x) = 5ax³ – 6x² – b²x – 7, and g(x) = cx* + 10x³ – (d + 1)x² – 4x + e. Find values for…

A: The given polynomials are fx=5ax3-6x2-b2x-7 and gx=cx4+10x3-d+1x2-4x+e. We have to find the value of…

Q: Find the particular solution determined by the initial condition. f'(x) = 3x2/3 - 4x3; f(1) = - 8…

A:

Q: Given : f(x) = x² – 3x +1 and g(x) = Vx – 2 g(f(-2)) -

A: Given:     To determine:  g(f(-2))

Q: 2. f(x) = x 3 - 10x 12 = 0 a.

A: We use synthetic division method

Q: Find the particular solution determined by the initial condition. 2/3 f'(x) = 3x - 6x; f(1) = - 7…

A:

Q: 1. f(x) = x* – 27x² – 14x + 120 -

A:

Q: Find (fo g)(x). f(x) = 5x - 2, g(x) = – x² + 4x -1 O-5x2 +20x - 7 %3D | -25x2 + 40x - 13 5x +20x -7…

A:

Q: If f(x) = x2 – 5 and g(x) =/ x2 + 25,then (fo g)'(x) is equal to

A:

Q: 1. Solve for (f1)'(3) if f(x) = x³ + x +1

A: Recall:  d(f-1(a))dx=1f'(b)                ................(1) How to find Derivative of the…

Q: Suppose x E R. If x³ – 4x4 + 3x3 – x² +3x – 4>0, then x2 0. - |

A: Given that x∈ℝ. We have to prove the statement "If x5-4x4+3x3-x2+3x-4≥0, then x≥0" by using…

Q: 15 f'(x)= 6x° +8x³ - x and the initial condition f (-1)=- 2

A:

Q: 2. If f(x) = g(x) × h(x) and f'(x) = -2(x – 7) + 1(-2x – 6) , find a possible equation for f(x)

A: see below the answer and explanation

Q: If F(x) = x2 - 3x + C and F(-1) = 4, what is the value of C?

A: Given: Fx=x2-3x+C  and F-1=4

Q: The graph of f(x) = 2x³ + 6x² horizontal tangents. – 90x + 8 has two What is the negative value of x…

A:

Q: Find f(x) by solving the initial value problem. f'(x)=3x2+4x-3; f(2)=4

A:

Q: If f(x)=2x−2f(x)=2x-2 and g(x)=x+1g(x)=x+1, then f(x)=g(x)f(x)=g(x) when x = − 2x = − 1x = 3x = 4.

A: it seems like to find the value of x for which both functions are equal.      given'…

Q: Find the general solution of the DEs 1- f"(x)= y"(x)=12x +6x-8

A: The given differential equation is a second order differential equation so we will first reduce its…

Q: Given f(x) = 3x° + kx – 10, and x – 2 is a factor of f(x), then what is the value -- of k?

A:

Q: If f(x) = 4x² ln(7x), then %3D f'(x) = f" (x) = f" (x) =

A: The given function is: f(x)=4x2ln(7x) so, f'(x)=4x2ddx(ln(7x))+ln(7x)ddx(4x2)…

Q: At what point will f(x) = 2x+1 andf¯1 intersect each other?

A: Topic - functions and inverse function

Q: 4 Find the value of f'(-1) if ƒ (x) =. (3xr² – 2x +1)

A: we have : f(x) = 4(3x2-2x+1)3 To find :f'(-1)

Q: Find f by solving the initial-value problem. f'(x) = 9x² + 6x – 9; f(2) = 5 - f(x) %3D

A: Given,  f'x = 9x2+6x-9  f2 = 5  We have to find  fx

Q: Find the general solution for: X' = là X. -3 %3D

A:

Q: Find f by solving the initial-value problem. f'(x) = 6x2 + 8x – 9; f(2) = 4 %3!

A:

Q: Is function  y=x2 a solution for equation of (1-x3)y'-2x+x2y+y2=0? If it is, find the solution.

A:

Q: я f (x) = (x2 + 3x)³ . (4x3 - 5x) 7 - -

A:

Q: Find the point(s) of intersection. f(x) = 2x2 − 7x − 18 and g(x) = 3x + 10

A:

Q: If f(x) = 3x - f(3) – g(2). 4 and g(x) -x², find the value of %3D 系 跳,, are

A: We can find the answer as below.

Q: If f(x) = x2 - 9 & g(x) = 2x - 5 then find the solution for (fog)x) <0

A: We can use the concept of function and inequality in order to solve the given problem.

Q: If Ax) = x² + 3x – 2 and g(x) = X+2 then g(f(-1)) is equal to 6.

A: The objective of the question is evaluate the value at the given functions of composition.

Q: 19 f(x) = x* – 12x2 + x – 1 -

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: (B) Solve f(x) = x³ – 2x – 5 using Secant Method, correct up to 3 decimal places. Where xo=2 and x1=…

A: Given that fx=x3-2x-5  also x0=2 and x1=3 solve it using secant method

Q: f(x) = -(x2 + 2x - 3) %3D f(x) 10-

A: Given:- f(x) = -(x2 +2x-3)  To find:- STANDARD equation of f(x)

Q: Solve f"(x) for a)x^4-3 b)x^3-2x c)(1/2)x^4-3x^2+4x d)x^2-(1/2)x-2

A: As per Bartleby guidelines we can solve the first three subparts only. If you need more answers…

Q: Find (f-1)'(a). f(x) = V 3x3 + 3x2 + 2x + 1, a = 3 (f-1)'(a) =

A: inverse function derivative

Q: If f(x) = ax + bx + c has zeros x = 15 and x = 6, what zeros does f(x + 1) have?

A:

Q: 10. f(x) = 2x3 – 9x² + 12x – 3 - -

A:

Q: 3. For f(x) = x - 10, find the solution to f(x) = 5.

A: f(x) = x - 10 f(x) = 5

Q: -9x(x-2) 8. g(x)=(x²-3x² +1)* 8'(x) =. (2-3x²+1) 2x+1 (3x-1) 9. f(x)=2 _ 6(x² +10x+1) (x+5)* f'(x)…

A:

Q: f(x) = x2 + 4x – 5, x < -2 -

A:

Q: 1 f(x) = x²- 4x %3D

A:

Q: F(x) = 2x^3 -11x^2 -7x+6 and X=-1 is a solution,

A: Put value in function if get 0 then this the solution

Q: If f(x) = x²+4 and h(x) = 3x – 4, what is f(h(x²+4))? O9x*+68 O9x* + 60 O9x*+ 48x2+ 68 Oex*+ 48x? +…

A:

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.