Consider the piece wise function x + 2 0 < x < 25 f(x) = - x + c x > 25 (а) lim x → 25- f(x) = (b) Determine the value of c so that f is coninuous at 25. C =

Q: Let h(x,y)=esqrt(y-x^2) Find the domain and range of h and sketch the domain of h.

A: Domain and Range:     Let 'f' be a real-valued function of two variables 'x' &amp; 'y'. Then…

Q: f(x) =4x^3 -24x^2 -60x a. find all values of x that correspond to horizontal tangent lines. b.…

A: GIVEN FUNCTION  IS f(x)=4x3-24x2-60x   Now first order derivative be f'(x)=12x2-48x-60=0 Solution a:…

Q: 3x-5 Use the quotient rule to differentiate the function f(x) = 4x+3 f(z) =

A: Given query is to find the derivative.

Q: For f(x)= -x^2+4x-3,x ≤ 2, Find f^-1(x) and state the Domian and Range of f^-1(x) and sketch the…

A: fx=-x2+4x-3,  x≤2 Now let y=-x2+4x-3. Now to find inverse function, interchange x and y, then solve…

Q: Determine for what x values the function f(x)=x^2-3x+2/x^2-1 is discontinuous

A: Function is discontinuous at that point where denominator of the function  not define

Q: determine all values of x at which the function is discontinuous: 1. f(x)=2x/(x^2-1) 2. f(x)=…

A: Given function is  fx=2xx2-1 The function fx is undefined when x2-1=0 which gives x=±1. So, the…

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Q: Let f(x) = Vx +7 and g(x) = x +3 a) Find (2) (2) show work. b) Give the domain of the function (-)…

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Q: Identify the original function f(x) and what value of c to evaluate f'(c). (3x-9x²)+(42) x+2 lim…

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Q: f(xh) fx) - , h 0, for the given function f Find the difference quotient h f(x) _

A: The given function is:

Q: For the function f(x)= x^-4/3, find: a) 8 the domain       the range

A: