If f(x) 3x-2then f(x) = x 2x+ 2x5/3 2x 2x-1 12 1+5x8/3 3x2 2x-53-3x-3/2 x2 none of the above

Q: Let h(x) = f(x)g(x). If f(x) = -3x²+2x 3 and g(x) 3x" + 4x + 3, what is h' (1)? Do not include "h'…

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Q: Suppose G(x)= 2x+3/x-4 a.) Find a value of x such that G(x) does not exist. b.) Find x such that…

A: A function of the form f(x)=p(x)q(x) is said to be a rational function, where p(x) and q(x) are two…

Q: 3. Given that f(x) = 3x +3 and g(x) = 2x -6. Determine g[f(x)] %3!

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Q: 12. What is f( + 1) if f(x) = –4x +17a-3x 4? O 4 -4x 17a2-4x O 4a 5 19x 6 | -4x 21a2 - 3x 6 -4 +…

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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: If f(-6) = 6 and f '(x) < 8 for all x, what is the largest possible value of f (3)?

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Q: For f(x)=-5x+3 and g(x)=square root x-5 Find f^-1(x)

A: Given

Q: x² -9 f (x) = is 0<x<5 and x=33 at the point 3 x² – 2x – 3° - 1.5

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Q: (x-1 f(x)= {2x -1 |-3x +8 if if xs-2 if -2 4 f(-1) = f(-4) = f (5) =

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Q: 6.Given f(x)= 3x – 2 and g(x)= x2 – 5x, find f(-1)+g(2)

A: The given functions are: fx=3x-2 and gx=x2-5x To find f-1 replace x with -1 in fx=3x-2 and similarly…

Q: 5. f(x) = 2x² – x + 6 for all values of x 6. f(x) = 5 at x = 2 х-2

A: 5. f(x)=2x2-x+6 for all values of x6. f(x)=5x-2 at x=2

Q: Let h(x)=f(x)g(x). If f(x)=−3x2−4x+2 and g(x)=−x2+3x+2, what is h′(−1)? Do not include "h′(−1)=" in…

A: Calculation of h (x):Using the functions f (x) and g (x), the function h (x) can be obtained as…

Q: i) f(-4) =                      ii) h[f(-6)] =                  iii) f[g(-2)]  =

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: if g(x) = 2x 10                            and h(x) = 3x-2                 3   Find g[h(x)]…

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Q: from the function f(x) = 3x4 − 4x3 − 12x2 + 5 Find the absolute extreme values of f on the closed…

A: To find out extreme values of f(x) i.e. maximum and minimum values, first we need to calculate…

Q: 2 Find f(x)- g(x) when: f(x) = x2 + 1 g(x) = 2x – 5 x? + 3x – 3x x² - 2x + 6 -x? + 2x + 4 x? - 2x –…

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Q: x+6 if x 2

A: Given that: f(x)=32x+6x&lt;-24-x2-2≤x≤2-(x-2)2x&gt;2

Q: x² – 3x – 2 - if r<-1 x – 1 x + 3 f(x) = if - 1<x < 1

A: limx→-1-f(x)=limx→-1-x2-3x-2x-1=(-1)2-3(-1)-2-1-1=1+3-2-2=-22=-1

Q: x²-4 f(x) = In2-3x-4,

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

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Q: If f(x)=4x-10 and g(x)=6-2x, fina tne roiiowing f(-2) g(5) g(-2)+ f(3)

A: Given f(x)=4x-10 and g(x)=6-2x. We need to find f(-2) Replace x by (-2) in f(x) f(-2)=4(-2)-10…

Q: If f(x) = 3x-1 +4 and g(x) = 4x-7, what is (f- g)(x)? %3D O A. (f-g)(x) = 3x-1 - 4x- 3 %D B.…

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Q: If f(x)= 2x2 and g(x)=3x+1, what is f(x)-g(x)? O2x+3x+1 O2x2-3x-1 O2x2-3x+1 O2x+3x-1

A: Given, fx=2x2 and gx=3x+1.

Q: 4 If f(x) = ln(2x² – 3) then f'(x) =? - 2x a) 2x2 – 3 - 4x b) 2x2 – 3 2x c) 2x2 + 3 -4x 2x2 – 3 -…

A: f(x) = ln(2x² - 3) So, f'(x) = 1/(2x²-3) × (2x²-3)' So, f'(x) = 4x/(2x² - 3) .... Option (b)

Q: 20.) Find function the Ceroes algebraically. of the f(x) = x² - 6x +8 4x X = ?

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Q: x - 7 If f(x) = Vx – 3 and g(x) find the domain x - 4 of

A: Given: f(x)=x-3 and g(x)=x-7x-4 To find: Domain of fgx.

Q: 7. Given the function 8(x)%3D4X' - 3x² +x-1, find g(0), g(-1), and g(x-x) |

A: Some important formulas (a - b)3 = a3 - 3a2b + 3ab2 - b3 (a - b)2 = a2 - 2ab + b2

Q: x4 x3 7. Find the critical points of f(x) =-- 3x? + 10 - 3x² + 10 4 3

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Q: 3x and g(x) = x + 1 If f(x) = then x + 3 4x (ƒ o g)(x) is -

A: Here, we have been given that f(x)=3x x+3and g(x)=x+14xOur Aim is to calculate (fog)(x)=?

Q: Evalvate f(f(f(2) X+5 for x5

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Q: 2. GIVEN g(x) = / x³-3x² + 3x-1/. FIND g (-4)

A: Formula: (a-b)3=a3+3a2(-b)+3a(-b)2+(-b)3 (a-b)3=a3-3a2b+3ab2-b3.

Q: x) such that f"(x)=2r' +3x-4

A: Integration: f''(x)=2x3+3x2-4x+5; f0=2, f1=0 ∫xndx=xn+1n+1+c

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.…

Q: Let h(x) = f(x) +g(x). If f(x) = 2x2 and g(x) = 8x, what is h' (x)? Do not include "h' (x) =" in…

A: Given   h(x) = f(x) +g(x)f(x) = 2x2g(x) = 8x5So,h(x) = 2x2+8x5Now, h'(x) = d h(x)dxh'(x) = d…

Q: Find (f-g)(x) if f(x)=sqrt16x4 and g(x)=3x3-3x-5. Choose from the answers below.…

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Q: f(x) Let f(x) = 8x3 – 22x² – 4 and g(x) = 4x – 3. Find g(x) - 13 O 2x2 – 4x – 3 - 4x - 3 4x - 3 O…

A: We will solve the problem

Q: is then the function (2) (x (2x-5) If f(x) = (х-1) and g(x) (x-1) (2x+5) (2x+5) b) () (x) = (2x-5)…

A: The function fg is defined by fg(x)=f(x)g(x)

Q: If f(-9) = 2 andf'(x) < 9 for all x, what is the largest possible value of f(1)?

A: Lagrange's Mean Value Theorem : If f(x) be continuous on [a, b] and differentiable on (a, b) then…

Q: (-3 0 -2x + 4 f(x) = -1 if %3D -2 x

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Q: x-5 If f (x) = find f (4) x2 -10x+25

A: Given, f(x)= (x-5)/(x²-10x+25) x=4

Q: 3) Let g(x) = x3-8.6x* + 38.782x - 17.25x - 4.5927x + 10.5 then the value of g(0.25 x 10) =

A: Function value at x=2.5

Q: 4 If f'(x) = x³ x'-2x +x+2, then f has inflection points at 3. n X=0 X= -0.5 X-1 x-0.6 X-2

A: Point of inflection  Those points where cancavity changes called inflection points

Q: if f(x)=2x-6 and g(x)=x-x^2 find the value for g(-1)

A: f(x)=2x-6g(x)=x-x2By replacing he value of x with -1

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

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Q: x²+1 if -20sxs0 --4x Find fogX3). Let f(x)=-3x+2 if if 3<xs5 and g(x) = X+1 X-6 5<x59

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Q: (x+3)(x-1) x' - 5x² + 4x¯ x(x-4)(x-1) x'+2x-3 Given g(x)= .3 What is the domain of g?

A: (a) Simplify the given function as follows. It is known that the domain of a function is set of all…

Q: If (2)-3.f(2)-1, g(x)=1/x, and htx)-[fx)][g(x)], then what is h'(2)?

A: Given that h(x)=[f(x)][g(x)] So, using the product rule,  h'(x)= [f'(x)][g(x)] + [f(x)][g'(x)] Then…

Q: Let h(x) = f(x)g(x). If f(x) = 3x² + 2x 3 and g(æ) = ² + 4x + 2, what is h' (-2)? Do not include "h'…

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