Are there two functions ƒ and g such that ƒ  g = g  ƒ? Give reasons for your answer.

Q: Express the function in the form   f ° g  ° h

A: We will use the most inner function=h(x), then next one=g(x), and the outer one=f(x)

Q: Which of the following tables which represent y as a function of x

A: To find out tables which represent y as a function of x To become a function, x value does not have…

Q: Which of the following functions is/are TRUE? A sinh(-x) = -sinhx B cosh(-x) = coshx tanh(-x) = -…

A: topic- hyperbolic functions we know that sinh(-x)=-sinh(x) cosh(-x)=cosh(x) tanh(-x)=-tanh(x)

Q: . Is this function even, odd or neither

A: This is a problem related to function calculation. Please follow the procedure given below.

Q: In Problem,for the given functions f and g , find:

A: Given that, f(x) = 2x  ;   g(x) = 3x2 + 1 We have to find, (a) (f o g)(4) (b) (g o f)(2) (c) (f o…

Q: Find f ∘ g ∘ h.

A:

Q: x²y" + 3ry – 24y = 0, y(1) = -8, y'(1) = –7. y =

A:

Q: Show that the functions f and g are identically equal.

A: Any two functions are said to be identical if they are equal throughout their domain. The tangent…

Q: Does the table below define y as a function of x? If so,give the domain and range of ƒ. If not,…

A: A table with x and y values

Q: Which of these histograms are approximately symmetric? Select all that apply.

A: he histograms A and H are skewed to left because the tail of the distribution is extended to the…

Q: Select all of the following equations for which y is a function of x. O2? + y? = 3 Ox = 4 Or + 4y =…

A: y is said to be a function if there is only one value of y for each value of x and also y is…

Q: Which of the following relations is not a function? A. y 3 4 3. 4 8. 9. C. y D. y -2 1 4 1 2 6 3 5 1…

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Q: Show that the functions f and g are identically equal.

A:

Q: Refer to the functions f and g and evaluate the function for the given value of x. select undefined…

A: Function composition: f={(5,2),(3,0),(0,3),(6,6),(-2,-1),(-6,-6)}g={(5,5),(6,4),(-1,-3),(-6,-6)}We…

Q: y =f{x) y = g(x) -2 1 -2 -1 2 1 3 4 -1

A: For a function, y=f(x), the dependent variable is y and the independent variable is x . The value of…

Q: . The function f has domain the set of numbers with absolute value less than 4 and is defined 3 x+5,…

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Q: ents a function?

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Q: N -10+ -30+ (x)+(x)=x too-

A: Graph of h(x)=f(x)+g(x) is given where f(x) is cosine function. To determine: The function g(x).

Q: cos(130°) cos(10°) + sin(130°) sin(10°)

A:

Q: f(0) = 4, g(0) = 9, f' (0) = 11, gʻ(0) = 6. Find h'(0) for the function h(x) = g(x)f(r). h'(0) = %3D

A: f(0)= 4 g(0) = 9 f'(0)= 11 g'(0) = 6 h(x) = g(x) f(x)  And we have to find, h'(0) = ?