Find the constant a such that the function is continuous on the entire real line. S 8x², f(x) ax - 4,

Q: Find all zeros of the function f(x) = 16z + 16x? – 17x – 15. Enter the zeros separated by commas.

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Q: Find the domain of the function.

A: Given: kx=x+3x-1 Domain of a function is the set of all values of x for which function is defined…

Q: Find all zeros of the function f(x) = 6x° + x? - 27x + 20. Enter the zeros separated by commas.

A: Given:   To find: Zeros of the given function.     Zeros of the function f(x) are those values of…

Q: Define f(x) = 6x + 7. If it is known that f(c) = -2, find the value of c.

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Q: Find S° g)(x) and write the domain in interval notation. e) - V2 -x 16

A: f(x) = 3/(x2-16) and g(x) = √(2-x)

Q: =V find f(x). 3/ x7 For the function f (x) = ,find f-1 (x).

A: Given function,f(x)=x753 ,we have to find f-1(x)

Q: Find a and b so that the function 1 5x3 — 6х? + 3, х -2 f(x) = ах + b, is both continuous and…

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Q: Find real values of x for which f(x) = 0. f(x) = 15 − 3x

A: Given: fx=15-3x To find the real values of x for which fx=0. Solution: Put fx=0 and then solving for…

Q: Find the domain of the function: j(x) = 5x /√(24 - 3x).

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Q: Find the domain of the function.

A: Domain are the set of real numbers for which the function is defined For square root part, square…

Q: Find the domain of the function f(x) = V15x – 3. %3D - (Write the domain in interval notation.)

A: Given function is fx=15x-34. To find the domain of the function. Solution: We have function…

Q: For what value of the constant c is the function continuous on all real number? f(x)={c°x² -4cx…

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Q: For f(x) = 2x² + 5x+", find. 10 S(a +h)- f(a) if h +0. h

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Q: Find all zeros of the function f(x) = 4x 16x? – x + 4. Enter the zeros separated by commas.

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Q: 2 If f(x) = 3x? + 9x and g(x) = x + 3, find f • g(x) . Completely simplify the result

A: to see 2nd step

Q: (2ax + 4,x < 2 g(x) = 110, 7. Find the value of “a" if gx) is continuous for all 2 < x real numbers.

A: g(x)is  continues for all real numbers

Q: Find the value of a, b, c and d if f(x) is differentiable (asinx – bcosx + x f(x) = x2 + 3 4 > x > 0…

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Q: Q3) IF f(x) =v4 -x g(x)= x? Find : a- fog(2) b- domain, range

A: According to guideline we should have been able to do only one question and a time #3

Q: The function f (x) = x3-x . is: х2-1 %D

A:

Q: find the value of the constant (a, b, or c) that makes the function continuous. (x2 - c 4x + 2c for…

A: For limits to be continuous left hand limit must be equal to right hand limit and equal to limit at…

Q: 11b. Consider the function f(x)=5x* – 4x³ +4. Isƒconcave up or down at the point x = -0.2? A.

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Q: (c) Find the domain and sketch: F(x) = and G(x) = e"-2 + 1 x2

A: Given a function F(x)=3x+|x|x2 To find the domain and sketch the graph of the given function. The…

Q: Find the values of x for which the function f (x) = x −7/x^2 + 3x −70 is continuous.

A: Topic:- function

Q: For what value of x does the function g(x) = --x³ + 2x? convex? А. x> 1 В. x< 2 С. x<2 D. x 2 1

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Q: Q3- Find the functions f.g s.t fog3 (x+1)5

A: fog =(x+1)^5

Q: find the function h such that h"(x)=36t2 + 24t - 4, h'(1)=-1and (-1)=1

A: Integrate the function                                                                    Find the…

Q: Find the domain of the function. u (x) = /-x+2 Write your answer using interval notation.

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Q: Determine the values of a and b which would result in the function f(x) being differentiable at x =…

A: We need to determine the value of a and b which would result in the function fx being differentiable…

Q: please find the QUESTION attached as a PHOTO below

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Q: Find the value of c so that the domain of f(x) = √c - x² will be [-5,5].

A: The function f(x)=c-x2 has the domain -5,5

Q: Find the range of f(x)=x-5x+6. O [-1/4, 0)

A: The given function is:fx=x2-5x+6To find the range

Q: (-2x² – 5x + 14,x 3 x= 3 continuous at x = 3. Justify the conclusion.

A: For given function f(x) ; -2x2 -  5x  + 14  , x &lt; 3   .... (i) 19  , x = 3         ..... (ii)…

Q: f (t) = v8 – 3t – VE

A: Given function ft=8-3t-t

Q: Find f', f'', f''' and f(4) for the function. f(x) = x* – 3x - 2x-1 4 f'(r)

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Q: Find the zero(s) of the function algebraically. f(x) = 2x + 18

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Q: For  f(x) = square root 7x  and  g(x) = x2,  find the following. (a)    (f + g)(x) (b)    (f −…

A: Part A- Given : Given functions are fx=7x , gx=x2 Calculation: f+gx=fx+gx⇒(f+g)(x)=7x+x2 Answer:…

Q: 14. For the function f(x)=ax³+bx² –5x+9 , determine the values of a and b so that s(-1)=12 and…

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Q: 7. Find f'(x) for the function f (x) = V-3x4 – 2

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Q: 10. Find the domain of the function. a) f(x) = V49 – x2

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Q: (c) Using the IV.T., explain why f(x) = x³'+ 2x – 1 has a zero in the interval [0, 1].

A: I have the state the theorem first and by using the statement i have show the root

Q: Find the function f(x) such that f'(x)=e^(3x)-6x+2 and f(0)=1. Thank you.

A: We need find the function f(x) such that f'(x)=e3x-6x+2 and f(0)=1

Q: (A) Find the absolute maxima and minima for y = x- 12x +1 over (-V5, V5).

A: From the given problem:   fx=x3-12x+1   And   a,b→-5,5.   Now differentiate the function and equate…

Q: Find the domain of the function f(x) domain? = 1 √ x² + 1x 30 . What is the greatest value of a not…

A: The given function,  fx=1x2+x-30

Q: Given the function f (x) = 10 + 5x³ – 3x³, identify the interval(s) where the function is concave…

A: Given:      f(x) = 10 + 5x3 - 3x5

Q: Find the interval where the function, f(x) = -3x2 + 12x + 15 is decreasing? O a. None O b. (-0,2) O…

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Q: Q1: Find the extreme values of the function F(x,y)=x² +n + y² +7 n=(3y)

A: f(x,y)=x2+n+y2+7    , n=3y

Q: Find f'(x), f"(x), and f3) (x) for f(x) = - 5x? +4. .... %3D f"(x) =D

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Q: Consider the function. x2 – 25 f(x) x3 + 2x2 – 25x – 50 For what real values does y = f(x) have a…

A: Here we need to find the vertical asymptote of given function.  The solution is following.