For the function, find the following. (a) f'(x) f(x) = x² - 6x³ - 7x² + 4x - 6 (b) f"(x) (c) f(x) (d) f(4)(x)

Q: For the functions f(x)=2x−2 and g(x)=6x^2−3, find (g∘f)(x).

A: Explanation of the solution is given below...

Q: 9. for f(x)=3x-5 and g(x)=3x^2-3, find the following functions  a.(f o g)(x)  b. (g o f)(x) c.(f o…

A: Consider the function, To calculate the (f o g) (x),   Substitute the value of g(x) in function…

Q: For f(x)=x+6sqrtx, find (f^-1) (55)

A: Given data: The given function is f(x)=x+6(x)1/2. The given expression can be written as,…

Q: Explain why both f (x) = x/ (1- x4) and g(x) = p are algebraic g(x) = -x / √(1-x4) functions.

A: f(x)=x1-x4 and g(x)=-x1-x4

Q: Simplify f(g(2)) given f(x) = 3/x and g(x) = 1/sqrt x+2

A: Given that, First we find f(g(x)). To find f(g(x)) replace x by g(x) in the function f(x). For the…

Q: What would be the piecewise function of  f(x)=(x+1)/(8-2x2)

A: Here, the equation is given by f(x)=(x+1)(8-2x2). The piecewise function of the equation has to be…

Q: Find f′(x) for the function: (a) ​f(x)= 3w^9-7w/5w (b) f(x)= 3x-5/x-5

A: (b). According to the question, we have to find f'x for the function fx=3x-5x-5. The derivative of a…

Q: Find f(x) if f"(?) = 12x^2+6x−4 and f(0) = 4 and f(2) = 10

A: f''(x)=12x2+6x-4f(0)=4f(2)=10∫xndx=xn+1n+1+c

Q: For f(x)=x^2+x+2 find f(x) at x=4  f(4)=

A: fx=x2+x+2

Q: f^-1(x) for f(x)=5+12(x)

A: