Determine values of constant real numbers a , and b so that the function : f(x) = Į ax2 + 7x - 72 |bx + 3 if xs-5 if x>-5 is differentiable at x = - 5. Enter the value of "a " in Blank # 1 and the value of " b " in Blank # 2. For example if a = 5 , b = -7 , just enter 5 in Blank #1 and -7 in Blank # 2. Enter an integer or a fully reduced fraction such as -16 , 22, -3/4 ,5/23 , etc. No Spaces Please. Blank # 1 Blank # 2

Q: Find (fo g)(x) and (g o f)(x) and the domain of each. x+4 f(x) = 2x- 4, g(x)= -

A: Given: - The functions are, f(x)=2x-4 and g(x)=x+42 To find: - The value of f∘g(x) and g∘f(x) and…

Q: Given f (x) = 3x² + x- 5 and g (x) = - - 3, find (f- g) (x). 3z2-8 3x + 2x 2 O 3r? + 2x 8 O 3z? - 2

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Q: Find The value of K, to Continue The function X-2 f(x)= 4-JI4+X メ+23 - %3D メ=2

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Q: Find all the real zeros of the function, in ascending order. f(1) = -31 (1 – 7) (z² – 49) First…

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Q: Find the constant a such that the function is continuous on the entire real line. - [8x², a = ax -…

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Q: If a and b are positive numbers, find the maximum value of f(x) = xa(3 − x)b on the interval 0 ≤ x…

A: Please see the explanation below

Q: value of x does the function f(x)=x^3-3x^3 attain the absolute maximum in the interval

A: Given, f(x)=x3-3x3=-2x3 Interval = (-1,4)

Q: Q1) A- solve the following function and show type of interval: 1) 3X < 5X –8 2) 2X2 + 9X + 4 20

A: We can solve these kind of inequalities by using direct simplification and wavy curve method.

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A: Given, the function g(x) = 3x3 – 9x, we have to check whether the function is concave upward or…

Q: Let h(x) = x³ - 2x + 3 and find the value. h(-1)

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Q: Which function has two distinct real zeros? f(x)=2x+2 f(x)=(x−2)2 f(x)=x3+2 f(x)=|x|−2

A: Zeros of f(x) means , value of x at which f(x) = 0So, To find zeros of f(x), Put f(x) = 0 and solve…

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: " The domain of the function f(x) = Vx2 – 12x + 32 consists of one or more of the following…

A: Given function is, fx=x2-12x+32 We can write the given function as, fx=x-8x-4

Q: For what value of x does the function g(x) = (x² – 4)² attain the absolute maximum in the interval…

A: First of all we will see what the extremum value of g will be.

Q: find the constant a, or the constants a and b, such that the function is continuous on the entire…

A: According to our terms and condition I have solved first question for remaining repost

Q: The equation f(x) = x³ – 9x has a root in the interval [3,5] о yes O no

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Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

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Q: Find the function f(x) = ax³ + bx² + cx + d for which f(-3) = − 92, f( − 1) = 2, f(1) = 8, and f(2)…

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Q: Find real values of x for which f(x) = 0. f(x) = x2 − 81

A: Find real values of x for which f(x) = 0.

Q: The domain of the function f(x)= 50/6x-23 is all real numbers x except for for where x equals?

A: Given

Q: The domain of the function f(x) = V-2x + 58 consists of one or more of the following intervals: (-…

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Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A: Topic : concave upward and downward

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A: Plot the curve for g(x).

Q: Let f(x)= ax'+x² + bx +6 where a and b are real numbers, and f(2)=3. Find the value of f(-2).

A: f(-2) = 17  The detailed solution is as follows below:

Q: Find all real values of x for which f(x) = 0, where f(x) = x2 − 16.

A: Solutions of an equation f(x)=0 are called zeros of the function. A degree n polynomial has at most…

Q: Let f(x) = x2 − 1 and g(x) = 2x − 3. Find the value, if possible. (If not possible, enter…

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Q: cannot be in the domain of f(x)

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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 a,b to continue the function at x=3 if: x > 3) x = 3 x < f(x) = ax + b 2ab + 1 bx - a +3 3)

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Q: Find the function f(x) if f''(x)=12x-6, f'(2)=4, and f(2)=-4

A: The second derivative of the function is given by f"(x_=12x-6, f'(2)=4 and f(2)=-4.

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A: Given function is

Q: If f(2) = 10 and f'(x) = x²f(x) for all x, find f"(2).

A: We have to find f''2 given  f2=10 and f'x=x2fx for all x, We will use following formula of…

Q: 2ax? + bx – 1 ifx 3 differentiable for all real numbers x, then a + b= (A) 1 (B) 2 (C) 3 (D) 4

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Q: Find the set of values of b so that the function f:R→R given by 21-4b - b? f (x) = | 1- x³ +5x + a,b…

A: B belongs to [2,3]

Q: For what value of x does the function f(x) .3 = -X 4x attain the absolute maximum in the interval…

A: An absolute extremum of a function in a  given interval is the point at which a maximum or minimum…

Q: Find the domain of f(x) 1 3x+6 a) x + -2 b) all real numbers c) x > -2

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Q: Find a function f so that f '(x) = 3x + 2x + 5 and f(1) = 10.

A: Given, f'(x)=3x2+2x+5 To find the function f, Integrate f'(x) with respect to x  we get,…

Q: The equation f (x) = x³ – 9x has a root in the interval [3,5] - O yes no

A: The given equation is fx=x3-9x. Evaluate the roots of the given function as follows.…

Q: Let f(x) = x2 − 1 and g(x) = 3x − 4. Find the value, if possible. (If not possible, enter…

A: Given,f(x) = x2 - 1g(x) = 3x - 4(f ⋅ g)(-1) = ?

Q: Given that 2x ax + 4 C then find the solution x and enter your answer as a function of a, b, c in…

A: Using cross multiplication.

Q: FOR WHAT VALUE OF X does the function g(x) = (x2-4)2 attain the absolute maximum in the interval…

A: g(x)=(x2-4)2 attain the absolute maximum at in the interval -3,1

Q: raph the function. 2x +3, if x < 0 14) f(x) = . x2 - 4 ifx2 0

A: The graph is a combination of a straight line in case of 2x+3 and a parabola in case of x2-4:…

Q: For what value of X does the function f(x) = X3 - 3X2 attain the absolute maximum in the interval…

A: topic - absolute maximum of a function

Q: Find the domain of the function f(x) = /x² – 2x – 15 Domain is (-00,-3]U[5,00) O Domain is (-00,…

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Q: want to check my answers on a and b.  as for c and di, how would i find the solution? Letf(x)=3–x…

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Q: = 2x2 +5x, find For the functions, f(x) = 4x +3 and g(x) (f o g)(x) O 32x2 + 68x +33 none of these…

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Q: The domain of the function f(x) = V2x + 20 consists of one or more of the following intervals: (- 0,…

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Q: Determine domain and range of quadratic function f(x)=-4(x+3)^2-9 answer in interval notation

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Q: If a and b are positive numbers, find the maximum value of f(x) = x³(9 – x)b on the interval 0 < x <…

A: Given: - If a and b are positive numbers, The function is f(x)=xa(9-x)b on the interval 0≤x≤9 To…

Q: Given f (x) = 10x and g (x) = 4xi, find - (2) and state its domain. (4) ( Domain: :: 6zi 10z 2 :: 6z…

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