Find f'(x) and simplify. f(x)=2x5 (x²-3)

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: f(x)=(x-2)^2,[2,infinity)   Find the inverse

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Q: If f(x) = 5x² – 2e*, find f '(x).

A: Given that  f(x) = 5x2 - 2ex  We need to find f'(x) and f"(x) . Now , f(x) = 5x2 - 2ex  So,   f'(x)…

Q: Let f(x)=x^2 and g(x)=2x^2-3x+2. What is the difference of the two functions, f(x)-g(x)?

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Q: Find f^-1(x) for f(x)=13+14x

A: Explanation of the answer is as follows

Q: f(x) = 9x -x? X6=

A: Draw the graph of the function f(x)=9x-x2.   The graph signifies that the curve has  horizontal…

Q: Find f'(x) and simplify. f(x)=6x5(x-9)

A: Answer is f'(x) =54x⁴(x⁴ - 5)Explanation:Step 1: Step 2: Step 3: Step 4: Thanks 🙏

Q: Find inverse function of (a) y = - x^2 (b) y = 3 - 2x

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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: Find the inverse function of f^-1 of the function. F(x) = 5sinx-7

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Q: Find the value of a and b in the function f(x)=ab^x, if f(-1)=15 and f(2)=5/9

A: Given function,                               f(x)=abx                               And  f(-1)=15…

Q: Given f(x) = 3x^2+4 and g(x)=-3x, calculate f(g(x)). Show all work

A: Given Function, f(x)=3x2+4g(x)=-3x We have to find, f{g(x)}=?