Given f(x)= x² +3x –1 and g(x)= 2x +1; what is (fog)(x) 2x? + 6x – 1 4x? +10x+3 Option 1 O option 2 4x? +3x+1 2x² +3x
Q: If Fx) is an antiderivative of x2 +x1, then what is the value of F(1) - F(-1)? 3
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Q: b) Given h(x) = 3x² + 2x and f(x) =- Vx – 2, find (h • f) (x + 2)
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Q: If f (x) = x² – 4, what is the simplest form of +1), %3D - X -1 Select one: a. х + 3 о ь. х — 1 c. x…
A: The given function is: f(x)=x2-4
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Q: What is the value of f(1) - 16B in ∫x^3 lnx dx= f(x) ( (1/4) lnx - B ) + C
A: To find out the required value.
Q: 2. If f(x) = -x² +2x+7 and g(x) = 5x+9, find f(x) +g(x). A x +7x+16 B x - 7x-16 C 10x+63 D -x +7x+16
A: We need Addition operation on these two functions
Q: 8. Find (S+gx). f)- Sx - 9x + 8 g(x) - &r - 7x +2 A) (+ gKx) - 13 - 16x + 10 B) (+ gXx)--3r-2r +6 C)…
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Q: Find the particular solution determined by the initial condition. f'(x) = 3x2/3 - 4x3; f(1) = - 8…
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Q: 19. f(x) : х — 2 x² - 4 20. f(x) = х — 2 (2r 15 if v-
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Q: 3 Given that f(x) = 3x + 7 g(x) = 4x + 5 and h(x) =3x-5 2x 13 find hf(x)
A: Explained below
Q: Find the particular solution determined by the initial condition. 2/3 f'(x) = 3x - 6x; f(1) = - 7…
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Q: If f(x)%3D3X2 4x+2, wha a. -7 b. 0 С. 7 d. -1 e. 1
A: Given:fx=3x2-2 and gx=4x+2f+g-1=
Q: f(x) = √√√5x - 2, g(x) = x² - 25, and h(x) (fh)(x) = 1 x - 3
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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…
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Q: (c) f(x) = x4 - 1 and g(x) = x4 – x³ – 3x² + 5x – 2 in F(R) -
A: HEre we have to find the GCD of the given polynomIal.
Q: 9. If f(x) = x2 - 2x + 5, what is f(x+h)? %3D A a2 -2x + h2 - 2h + 10 x2 + 2xh + h2- 2x 2h +5 C a2 +…
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Q: If f(x) = x2/3x +1,then f'(x) -3x2- 2х (A) V3x+1
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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: If f(x) = x²/3x+1,then f'(x) %3D -3х2 - 2х A V3x +1 9x2 +2x B V3x +1 -9x2 + 4x 2/3x+1 15x2 + 4x D…
A: Given that, The function is following, f(x) = x23x+1 We have to find the first derivative of this…
Q: 2. Given that f(x) = 2x + 2 and g(x)= find fg 2+x2
A: Given: fx=2x+2gx=-x2+x2 To Find: fggfg1=?
Q: 2. 1. f (x) = x° – 4x – 5 g(x)3Dx5 a) Find(-)æ x + 5
A: Consider the functions
Q: The antiderivative of the function f(x) = x2 + 9x is. -5 + 18.0x? + c -5 4.5x? + c -9 + 2.5x² + c -5…
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Q: Suppose 3x2 – 3x + 8 - f(x) : x (x2 + 4) Then A f(x) Bx + C | x² + 4 where A = and B %3D , and C =
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Q: If f(x) = x³ – 2.x² +3 , the only point where f could change the concavity is 2 b) x =- 3 a) x =- c)…
A: Finding the inflection points
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: 3) g(x) = x + 2 f(x) = x³ + 4x Find (g · f)(x) А) бх* - бх3 + бх? - бх 2x + 4x2 – 8x 4) f(x) = x² –…
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Q: f(x)=x2+3f(x)=x2+3 and g(x)=4x+1g(x)=4x+1, what is f(g(2))f(g(2))?
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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: The antiderivative of the function f(x) = + 7x is -3 3.5x2 +c 3 + 3.5x? +c -7 +1.5x² + c -3 +14.0x²…
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Q: 2. Let f(x) = 16x 4x and g(x) = 18x + 3. Solve for x when f(x) = g(x)
A: We will solve for x when f(x)=g(x) in the following step.
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…
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Q: Suppose g(x) = x² +2, then g(x+h) will yield to A x+2xh+h2+2 B x²+2xh +h+2 x2 +2xh +h2 +2 x²+2x+h?…
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Q: x²-x-6 f (x) = x3+2x2-x-2 Hole: VA: НА: SA: x-intercepts: y-intercept:
A: Here, the given function is: f(x)=x2-x-6x3+2x2-x-2=(x-3)(x+2)(x2-1)(x+2)=x-3x2-1 So, the numerator…
Q: Find f by solving the initial-value problem. f'(x) = 6x2 + 8x – 9; f(2) = 4 %3!
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Q: Given f(x)= x² +3x –1 and g(x)= 2x +1; what is (fog(x) 6x
A: f(x)=x2+3x-1g(x)=2x+1composite function:(f o g)(x) = f(g(x)) =f(2x+1) =(2x+1)2+3(2x+1)-1…
Q: f(x)=9x^3+8x^2+7x+3 F has a candidate to a point of inflection in x equals_____
A: Given function f(x) = 9x^3+8x^2+7x+3 Differentiating on both sides with respect to x f'(x) =…
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: 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: If FIX) is an antiderivative of x-2 + x1, then what is the value of F(1) - F(-1)? A) 3 (в) -2 -1
A: Solved below
Q: 3. For f(x) = x - 10, find the solution to f(x) = 5.
A: f(x) = x - 10 f(x) = 5
Q: Find / fx) + 3g(x)ldx if |F()dx = 5 and / g(x)dx = -9- -2 f(x) + 3g(x)]dx = i -2
A: We can find the answer as below.
Q: 1. f(x) = 3x^3 -2x^2 -4x +1; g(x) = -5x +6x^3 -2 +x^2 . Find (g-f) (x). * %3D -3x^3 -3x^2 + x +3 O…
A: Given: f(x)=3x3-2x2-4x+1g(x)=-5x+6x3-2+x2 To find (f-g)(x)
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)…
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Q: 1. If f(x) = 3x + 9 and g(x)=x²-4, find: b) (fog)(2) d) (gof)(3)
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Q: с. X-3 -3)x' +x² -1- -14x+3 x -1 d. X-1
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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…
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Q: How can we show that f(t)=e4t-3t^2 is not an mgf?
A: For any Random Variable, Var(X) > 0 Now We know, E(Xr) = f(r)(t) |t=0 Where f(r)(t) denotes r th…
Q: Find f by solving the initial-value problem. f'(x) = 9x2 + 2x – 4; f(2) = 2 - f(x) %3D
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