If h(x) 6.x + 1, find h(). Is h a one-to-one function?

Q: 16. For the function g(x) = x² + x – 1, find and simplify: 9*+h)-g(x) h

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Q: . Find the value of a that makes the following function differentiable for all x-values. Jax, if x…

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Q: Express the given function h(x) =1/(4x + 5) as a composition of two functions f and g so that h(x) =…

A: We need to express the above function h(x) as a composition of two functions f(x) and g(x) such…

Q: What value should be assigned to a to make the function S(x) = (x²-1, x<3 (2ax, x 23 Continues at…

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Q: 3x-4 -,x < 1 x+2 4. Given the function f (x) = . Calculate f'(1-) and f'(1+). In?x x+1

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Q: 3. If f(x) = x + 1, find f(3) and f(- 3). Is f a one-to-one function?

A: The given function is fx=x2+1

Q: Given the function h (x) = -v2 – x, what is h (x)?

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Q: Consider the function h(x), for which h(2) = -5 and h' (2) = –1. h(x) Find f' (2) for the function…

A: Given function:                                   f(x)=h(x)x   Let's take the derivative of the…

Q: Select the correct answer for end behavior of the function: As a → -0, ƒ(x) → As x → 0, f (x) →

A: we have to check

Q: Find the value for k so that the function will be continuous at x = 3. - 10x? – 10x + 120 - 1 if x <…

A: The given function,  f(x)=-10x2-10x+120x-3-1if x&lt;3-7x2-70x-175+kif x≥3

Q: Find g'(x) for the given function. g(x) = /15x

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Q: The function h(x)=1/x−4, can be expressed in the form f(g(x)), where g(x)=(x−4), and f(x) is defined…

A: Given: ------------------------------------------------------------------------------------------…

Q: Determine h(x−1) for the following function. h(x)=-6x/x2-x-20

A: Given function, h(x)= -6x/xv-x-20 We have to find, h(x-1)

Q: The function h(x)= 1 over x-8, can be expressed in the form f(g(x)), where g(x)= (x-8) , and f(x))…

A: use composition of function to find the function f(x).

Q: Use the graph of the given function f(x) to find x such that f(x) = - 3. 2- ->

A: f(x) implies y in a cartesian plane so the value of y is the value of f(x)

Q: Express h(x) as a composition of two functions: h(x) = 3√(x2 + 1)

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Q: /Discuss the behavior of the following function as x 0: o,

A: Here, the given function is: f(x)=0,x≥0sin1x,x&gt;0

Q: ) Find (f-g)(x) for the given functions. f(x)=3x²-x+5 and g(x) = 5x²-3

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Q: Find the domain and sketch the graph of the function.

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Q: Express the given function h(x) = l 2x - 5 l as a composition of two functions f and g so that h(x)…

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Q: Find constants a and b, such that the function following function is continuous for -3 <x <0. -x +1,…

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Q: Consider the function f(t) = = -X 3-x (x − 3)² - if x 3

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Q: A function f(x) is given as follows: 2x +1 f(x) = 3x - 1 f-(1) =?

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Q: 1. Is the function f(x)= x³ + x−1 even, odd, or neither?

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Q: Express the function h(x)=1x−9h in the form f∘g. If g(x)=(x−9), find the function f(x).

A: Topic = Functions

Q: Find the value of k, if the constant k that makes the function continuous:

A: Given,          f(x)=x2+k2if x≤4kx+12if x&gt;4

Q: Calculate the output for the function with he given input. If there is no possible output for the…

A: The given function isfx=xx-1. Here function fx is not defined if x-1=0. x-1=0x=1 So, the function is…

Q: Jx + 2 if x -1

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Q: Express the function h(x)=1/x+7h in the form f∘g. If g(x)=(x+7), find the function f(x).

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Q: Find a formula for a function that f(x) =

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Q: The function h(x) ==x-1 represents the composite h(x) = f(g(x)). If f(x) = 2x – 1, what is g(x)?

A: Please refer the attached image for complete solution. Given : hx=43x-1, hx=fgxfx=2x-1To calculate :…

Q: Find the domain and sketch the graph of the function.

A: fx=x+2    if x≤-1x2        if x&gt;-1 The domain of given function is the set of all real numbers.

Q: Express h(x) as a composition of two functions: h(x) = √(x2 + 5)

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Q: Differentiate the following function. f(x) = 2e2x f(x) = 2 e (2e2x) =]

A: Given: fx=2e2x We know that ddxekx=kekx                                                          ..1

Q: Consider the function h(x), for whichh(5)=11 and h′(5)=−5. Find f′(5) for the function f(x)=h(x)/x

A: Given function is Differentiating both sides with respect to x using quotient rule of…

Q: Express the given function h(x) = (3x - 1)4 as a composition of two functions f and g so that h(x) =…

A: Given function,  h(x) = (3x - 1)4 To express the function h(x) as a composition of two functions f…

Q: The function h(x) 1 can be expressed in the form f(g(x)) where g(x) = (x + 7) and f(x) is x + 7…

A: Given ,  The function h(x) = 1/(x+7) can be express es in the form f(g(x)) where g(x) = (x + 7)  We…

Q: The function h is defined by h(x) = x^2 +2. find h(5z)

A: Given h(x)=x2+2

Q: 2 a) For the function f(x) = find f' X- 3'

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Q: Express the function h(x)=1x+7 in the form f∘g. If g(x)=(x+7), find the function f(x)

A: Given,

Q: A function has a zero at X = 8, indicating what?

A: Given, A function has a zero at X=8

Q: If  f(x) = x +4 and h(x) =  4x - 1 , find a function  g suchthat  g ° f =h .

A: Given function: fx=x+4hx=4x-1 We have to find g(f(x)) Substitute the given expression for fx and hx…

Q: Determine h(x - 1) for the following function. - 2x h(x) %D x2 - 8x + 15

A: The function is an expression, which gives output values (function values) for each inputs which are…

Q: Express the given function h(x) = 3√(x2 - 9) as a composition of two functions f and g so that h(x)…

A: Given function is  h(x)= x2-93.

Q: Determine h(x- 1) for the following function. - 2x h(x) : x² + 2x 15

A: We will plug x-1 in place of x.

Q: For the function f(x)=3x", evaluale : f(Xth)=

A: F(x) = 3x2 , put x = x+h                                                            F(x+h) =3(x+h)2…

Q: 1. Find when the function is increasing and when it is decreasing. x2 – 9 f(x) = x2 – 16

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Q: . Find f(x), knowing that f (x)=10-0.5x +3x and that the graph of f(x) passes through the point…

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Q: For a function g(x), g"(3)=-8 indicates that g(x) is at x=3. concave up decreasing increasing…

A: Please see the explanation below