Find F as a function of x and evaluate it at x = 5, x = 7, and x = 9. F(x) = F(5)= F(7) = F(9) = F(x) "X 2 - 1² - ²3/0² = dt t³

Q: Consider the function f(x) = x² + 2x - 8. (a) Find a simplify: f(C)-f(1) = (b) Find and simplify:…

A: The given function fx=x2+2x-8. We have to find and simplify the expression fC-f1C-1.

Q: olve for the inverse fuction of f(x)=x/x+1

A: In the given question we have to find the inverse of the function f(x)=xx+1. Concept: for the…

Q: Find the directional derivative of f at the point (1,2) in the direction of the vector v = = (1, 3).

A:

Q: Given f(x)=x+(1/x).   Find f(a).

A: Given, The function is f(x)=x+(1/x).

Q: If f(x) = x√(x+3) and a=2, find (f-1)'(a). f is a one to one function

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Q: Find

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Q: etermine the intervals where the function f(x) = x 2 e −x is increasing and where it is decreasing

A: Determine the intervals where the function f(x) = x 2 e −x is increasing and where it is…

Q: For the function f(z) 2(x – 5) + 7, which of these equations describes f '(r), the inverse of the…

A: We wil use concept of inverse function to find the answer.

Q: Let n be a positive integer. Define the function fn(z) by dzn (2²+2x+2)". Find the value of fn(-1 +…

A: Solution:Given: Let be a positive integer. the function is defined bywe have to find the value of

Q: 3. Let f(x) = x¹/3 and g(x) = 2x² + 5x – 1. A. Write out the equations for all four functions: ƒ(x),…

A:

Q: Consider the function g(x)=(f(x))^5. If f(4)=3 and f′(4)=−2, then find g′(4).

A: Given: g(x)=f(x)5f(4)=3f'(4)=-2

Q: Find f′(0), where f(x)= (x|x|)/(2+⌊x⌋)

A: Consider the given function fx=xx2+x

Q: Find the inverse for the function f(x)=D (x + 3)°. %3D Ox = V3 + y Ox = V3 - y Ox = Vy- 3 Or= Ox =…

A: