x + 7 If f(x) = 4x – 7 and g(x) = 4 (a) f(g(x)) (b) g(f(x)) (c) Thus g(x) is called an function of f(x)

Q: 5. f(x) = x², 6. f(x) = 1- - g(x) = 4x + 5 3 x + 3 7. f(x) = x + ₁1/2x - 3, g(x) = 1 x-1 g(x) = 3

A: As per guidelines we can answer only one question at a time so if you need more answer kindly repost…

Q: 5. f(x) =-2 x-1 6. f(x) = 2 7. f(x) = x² + 3

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Q: 3- 2+ -4 -3 -2 -1 -1 1/ 2 3 4 x -2- -3 . Figure 1: y = f(x) 4. 1.

A: Here is the solution of

Q: F(x)=3x^2+2x-7 , G(x)=4x-5x^2+3x: Find G(x)-F(x)

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Q: x - x +2 4. If flx) =x + 7 find f'(x) . (5x - 1) (3x²) (A) (x' + 7)(5x - 1) – (x° – x + 2)(3x²) (B)…

A: The given function is  f(x) = x5-x+2x3+7

Q: f(x) = x³- 3. function type f(x) 3. 1. 2.

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Q: Sketch the graph of the function.

A: Definition used -               The domain of square root function -  We know that number inside…

Q: The graph of function f(x) = x³ 6x2 + 9x + 1 is concave upward on (-∞, 2) (-0, 0) (2, оо) о (-2, 2)

A: f is concave up when f''(x) is greater than 0

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Q: { x -1

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Q: Lim JX-J2 メ→ x²-4

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Q: 23) lim f(x) x→1- f(x) 5- 4+ 3+ 2+ -5 -4 -3 -2 -1 -1. 5 х 2 4 -2+ -3+ -4+

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Q: G(-2) if g(x) = -x^2 + 4x + 1

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Q: 2. If the point (3, 27) lies on the graph of the function f(x) = x³ , what point must lie on the…

A: Given point is (3,27) Function f(x) = x3f(3) = 33 = 27 The graph is

Q: kx,0 6

A: From the definition if the function is probability density function then, ∫-∞∞f(x)dx=1 Here,…

Q: x-2 lim Jx-2

A: Find the limit limx→2x2-2x-2.

Q: 3 x + 3 ' 7. f(x) = x + 2x - 3, 3 2 8. f(x) x-3 x-2’ 6. f(x) = 1 -- = g(x) : - x - 1 g(x) = 3 = g(x)…

A: We can find the value of 'x' for which f(x)=g(x) . Note : As per our Guidelines we can solve first…

Q: Graph of f(x) = LxJ

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A: Using given first principle of derivatives

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Q: 8. Find the domain of the function V7x+8 I. f(x) f (x) = x2+4 20х-10 II. f (x) х2—25 -

A: Given to evaluate Domain of

Q: f(x) -3x + 5 -3 く x < 0 三 -3 X = 0 -2x

A: The given function is fx=-3x+5    if  -3≤x&lt;0-3            if   x=0-2x         if    x&gt;0.…

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Q: (i) f(x) = x³ – x² - 8x + 1 on [-2, 2]. (ii) f(x) = x³ + x + 1 (iii) f(x) on [-1, 1]. = 3x* – 8x³ +…

A: Please see the below picture for detailed solution.

Q: f4) = (/4x² +8 - x²)* (8x + 4x)V4x2 + 8 - 24x - 32x V4x2 +8 If then f'(x) =

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Q: Find the point on the graph of the function f(x) = (x + 5)2 that is closest to the point (1,3). %3D

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Q: Find f. f '(x) = 4x − 3/x4,  x > 0,  f(1) = 7

A: given that f'(x)=4x-(3x/x4) and f(1)=7. we need to find the f(x) value. consider f'(x) and integrate…

Q: 2x-3 5. Let f(x) = find 3x+4 Ax as Ax -0

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Q: 2x-3 5. Let f(x) = find as Ax - 0 Ax 3x+4'

A: Given that: f(x)=2x-33x+4

Q: f)-\2+1 x>-5 3x-2 xS-5 find f(-5) and f(3). x +1 x>-5

A: For f(-5)    at x=-5  first function is given so put x=-5  in first function. And for f(3)   it…

Q: 7 B lim f (x)% = 6 T--2- A 2 1(-0.1, 0.5) B2 -7 -6 -5 -3 +2 2 -1 -2 -3 F E 3.

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Q: f(x)=4x-3, g(x)=x+4, (f+g)(x)=

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Q: |x + 2, x> 0 讨论函数f(x) = 在x=0的连续性. х — 2, х <0 -

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Q: F(x)=1/3x^3-1/2x^2-12x+4 Domain [-4,5] F’(x)=x^2-x-12

A: To find the correct option

Q: 1-4, xs1 7) f(x) = %3D ++2, x> 1 -8 +一七

A: In this question we have to graph the function.

Q: x +x-6 F(x)%3D at x= - x+3

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Q: 8. Consider the quadratic functions: f(x) = -2(x+3)(x-7) and g(x) =(x+3)(x-7). How are they the…

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Q: 6. f(x) = x² – 4x, g(x) = 2-3E %3D a) (f - g)(-5)

A: Given: f(x)=x2−4xg(x)=2−3x

Q: 5. f(x) = -, -2 < xS 2

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: 3. Find f(-7) if:f(x) = 5 – x if x0 %3D

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Q: 36-x f(x) = 35 - x -x+1 what The domain of the function

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Q: 3) Classify the type of the fixed points of the function : f(x) = x³

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Q: (x-1)(x+4) What is the long-run behavior of the function y =- As x → 0 and as x → -

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Q: 2. -3 3. f(x)= ;x = -1

A: See the details solution in below