f (x) = x² g (x) = 2x – 5 - Find g[f(x)] o Neither of These 2x2 – 5 4г? — 20х +25 O No answer text provided.

Q: Find: (fog)(x) (gof)(x) (fog)(2)    f(x)=7x+1 and g(x)=2x^2-9

A:

Q: Differentiate

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: b) Given h(x) = 3x² + 2x and f(x) =- Vx – 2, find (h • f) (x + 2)

A:

Q: f(x) = -x² + 2r + 15 What is the first (left most on the horizontal axis) zero of this func- tion, r…

A:

Q: Q2) Find the values of constants (a)&(b) that makes the f(x)= ax + b 3 (-3 x≤-2 -2<x<4 x24 Con

A:

Q: {G) = -2x+5 firid f(2)

A: To find: The value of f1. Given: The function is fx=-2x+54. Calculation: Substitute x=1 in…

Q: f(x) = 7x + 10 g(z) = + 2

A: Given query is to find indicated function value.

Q: • 4x² If F(x) = e(5r²) dt, what is F'(x)? (Do not include "F'(x) =" in your answer.) 3x

A: If you like the solution then please give it a thumbs up.... The Answer is:           ∫3x4x2e5t2dt…

Q: Solve f(x) is greater than or equal ro 0 f(x) = x2 + 6x - 7 over x2 -10x + 25

A: We have to solve for the function f(x) when f(x)≥0. Given function -  f(x)= x2 + 6x - 7x2 -10x + 25

Q: f(x) = 32x − 8x2 find the critical numbers of the function.

A:

Q: f(x, y) = e-(x²+y²)(3x² + y²) Calculate the extreme values of the function: = e-(x²+y²) (3x²+ y?)

A:

Q: fg(x) = 3x – 5 and h(x) = (f o g)(x) = 9x² – 30x + 25, then f(x) - - Jsing g(x) and f(x), determine…

A: Solution is given below

Q: x²–1 If f(x) and g(x) = Vx – 1, which will yield (f 0 g)(x)? %3D r2

A:

Q: 8. f(x) = 2x +9x + 4 x² -16 a) HA at b) VA at (2x+1)(x+4) (x+4)(x-4)

A: From the given function: fx=2x+1x+4x+4x-4 As we know that for vertical asymptotes , equate…

Q: 5x g(x) x2 C = 0 + 3x - 4 g(x) n = 0 8.

A:

Q: What is the domain of f (x) = ln(x – 3) + 4?

A: Domain where fx is well defined.

Q: x2 -16 f(x) = continous at x = 4. %3D x2 -3x-4

A: f(x) = x2-16x2-3x-4 continous at x=4 This can be solved using factorization of quadratic equation

Q: f(x)= .5x^2+4x-10 How do you find this using the secant method?

A: In this problem we will use the secant method

Q: 2 f(x) = √4-x² [-1,1] n = 4 a = -1 right left & middle hand rule b=

A: The given function is fx=4-x2 over the interval -1, 1. The number of subintervals is n=4.

Q: if f(x) = 3x+4 over 4x+3 then f'(x)=?

A: Given: fx=3x+44x+3 To Find: f'x=?

Q: (x* -3x,ifx 22 Find g(x). g(0). g(-2) x+2, ifx < 2

A:

Q: Find the domain of f

A: We have to find the domain of the function: fx=x-2x-6 We know that for any square root function y=fx…

Q: S(x) = 2x" + 4x + 2x + 1 g(x) = (x + 1) Find (fg)(- 1)

A: Given  f(x) = 2x3+4x2+2x+1 g(x) = (x+1)   We have to find (fg)(-1).

Q: f(x)=5sqrt(x+2) at x=7

A: Given: f(x)=5x+2f(x) has domain x≥-2

Q: (a) f(x) = 2r3(3 – 4x)

A:

Q: (z+ 1)호(22-2z +3)호 (a2 – 4x + 8) When f(x) = find f'(1). %3D - (2전)

A: Given,         fx=x+112x2-2x+332x2-4x+812

Q: Find the domain of f(x) = ln(5x + 2).

A: fx=ln5x+2

Q: fG)=4x-3 SCx) == (s09) (x)=

A: gx=x2

Q: S2x – 4 x² - 2 find: (a) f(0) if -1 sxs2 if 2 <xs 3 If f(x) (b) f(1) (c) f(2) (d) f(3)

A: As there are multiple sub parts a), b) and c)  are solved here.

Q: f(x)=x2-2x+4     g(x)=x2+2x-4 (f o g)(4)

A:

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

A:

Q: (c) Find f-1. f-1(x) = X , x20

A: We plug f(x)=y then switch x and y. f(x)=x+4y=x+4x=y+4

Q: 8. Find (f+g)(x). f(x) = 5x² – 9x + 8 g(x) = &r2-7x + 2 A) (f+g)(x)= 13x - 16x + 10 B) (f+g)(x)=-3x…

A:

Q: Graph the following functions.

A:

Q: Express the follo lowest form +4 a 2 1-3x S+x

A:

Q: 8) f(x) = 2x + 5; g(x) = 3x - 1 Find bo

A: Givenf(x)=2x+5g(x)=3x-1

Q: Q 4. (a). Show that fog = 4x² – 1, if f(x) = 4x – 5 and g(x) = x² + 1.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: n f(x)=6x– 2 and g(x)=x² – 3x – 4 , find (f•g)(x). | -

A: Given :          fx=6x-2gx=x2-3x-4

Q: For the function z = x3 - 2x2y2 - 2y2 Please solve Zx and Zy

A: To find: The value of zx and zy. Given: The function is z=x3-2x2y2-2y2. Formula used: Power rule of…

Q: b. Given f(x) = 3x + 2, g(x) = 2x² – 4x and h(x) = x-x+ 7, find (g + h) (-1/2). %3! %3D

A: Given: f(x)=3x-2, g(x) = 2x2 -4x and h(x) = x2 -x+7 To find: g+hf-12 This can be defined as follows:

Q: f(z) = x2 – 8x + 15 g(x) = 1 – 3 ()e) Find |(x) (1) The domain of

A:

Q: f(x) =l10x2 -4xI , g(x) = 9x - 6;Find (f ∘ g)(1).

A: This question can be solved using the concept of composition of function.

Q: Q2: Find f-(x) 2x - 3 f(x): I +2

A:

Q: tees is x2-16 x+4 14. f(x) = g(x) = * x2-5x+4' x-1 -2 -1 0 1 3 4 f (x) g(x) 2.

A: Given function is fx=x2−16x2−5x+4 and gx=x+4x−1 Simplify fx=x2−16x2−5x+4…

Q: b) Approximate the value of the root of f(x)=-3x+5x+14x-16 near X3D3 to within 0.05 of its actual…

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to calculate the root of the equation:…

Q: If f(x) = 4 – x² & g(x) = vx then find (fog)(x) » (gof)( x + 8 If f(x) = 3x – 8 & g(x) = then find…

A:

Q: f (x) = x² – 3x + 9 g (x) = 3x³ + 2x² – 4x – 9 - Find (f – g)(x). Select one: a. –3x³ – x² + x + 18…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find (f-1)'(a) for f(x) = V4 – 3x when a = 1. (Enter an exact answer.)

A:

Q: f(x)=20x2-7x    g(x)=11x-9 (f o g) (2)

A:

Q: Which of the following functions is NOT a solution of x" - 4x + 4x = e¹?

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.