2. Show that fxy and fyx are equal for the function f(x, y) = x²y sin(x + y). %3D xy. cos(xry) + 2xy sin (xry) (x+y) y= x'g cos (xry) + x² sir COS %3D

Q: Consider f(x) = 3V(x - 5). Write its domain.

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Q: Let f(x) = x2 and get g(x) = 2x. Find the value of (g ∘ f)(x) (a) 48 (b) 36 (c) 72 (d) 144 (e) 18

A: In (gof)(x), input function is f(x) and output is g(x).  To find ( g o f )(x), one have to plug f(x)…

Q: Evaluate the indicated function for f(x) = x2 + 1 and g(x) (f - 9)(2t) = x - 5. (f – g)(2t) = 41² –…

A: Here, First, evaluate the value of f(2t). Now, evaluate the value of g(2t).

Q: When f(x) = 6z² + 4z + 1, evaluate f(3) f(3) =

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Q: what is the inverse of the linear function  f (x)2/3 x - 6?

A: Solution: Consider the given linear function is: f(x) = 23x - 6 A function g is the inverse of f if…

Q: f(x) = 10Vx3 – Vx? + 6\Vx® %3D -

A:

Q: [3] If f(2x+3)=4x²-2x+3, find f(x)

A: Firstly put t=2x +3 and find f(t) ,After that replace 't' as 'x'.

Q: What is the y-intercept of y = Vx+1+3? Explain using transformations of this function from the…

A: Given that  y=√(x+1) +3 To find the Y-intercept of y

Q: Given the functions f(x) = 4x + 10 and g(x) = √√x + 2, what is the value of a for which f(g(a)) = 10…

A:

Q: Show that the product rule works for the case f (x) = x2, g (x) = x3.

A: Given that, fx=x2gx=x3 We have to show that the product rule works for the case of given functions.

Q: The function f(x) multiplies its input by 6 and then adds 5. Construct a function g(x) that 'undoes'…

A:

Q: Find g × f when f(x)=1/3x-3 and g(x)=3x+1

A: Given: The functions  and ,  defined as, Aim: To determine the product of two functions, i.e.,…

Q: qhat is the inverse of f(x) = 7x/x+3

A:

Q: Evaluate the function for f(x) = x + 3 and g(x) = x2 – 2. (f + g)(-8) (f + g)(-8) = Need Help? Read…

A: f(x) = x+3  g(x) = x2 - 2

Q: Find the domain of the function f(x) = √x + √(1 − x)

A:

Q: Explain why the funclion (2)3D 12)=52-6+zcos Z-Ze is. entire ?

A: Answer

Q: Evaluate (f− g) , (1) and (3f + 2g) , (1), assuming that f , (1) = 3 and g , (1) = 5.

A:

Q: let f(x) = 7/x+5  find the difference quotient in the form f(x)-f(a) / x-a and simplify your answer…

A: Given, fx = 7x+5  We have to find difference quotient fx-fax-a