Let h(x) = f(x) + g(x). If f(x) = x³ and g(x) = 4x4, what is h'(1)? Do not include "h'(1) =" in your answer. For example, if you found h'(1) = 7, you would enter 7. Provide your answer below: MacBook Air O -Previous E 4 R 96 5 (t T 6 U 8 9 P

Q: Find the value of “a” if (x1/3)(x3/4) = xa

A: Use Formula  (xm)(xn) = x(m+n)  When the two terms are in Multiplication and their bases are same…

Q: Suppose that T(0) = a and T(1) = b are some constants. Define the running pairwise average as, for n…

A: Given: Tn+2=12Tn+1+Tn for n≥0 T0=a T1=b To find: The limit of Tn as n→∞.

Q: Consider the function f(x)=x2+6(5x−10)(x+4)f(x)=x2+6(5x-10)(x+4). For each prompt below, if no…

A: We need to find asymptote and intercepts.

Q: evaluate 32x − 1 at x = 0. f(0) =

A: Given,    f(x)=32x-1 To find: f(0)

Q: h(x): = 2x and g(x) = x", find h(g(x)). Dô hót simipiny. O h(g(x)) = 2xa² O h(g(x)) = h(2x²) O…

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Q: II. If f(x) = x², g(x) = 5x and h(x) = x + 4, find each value: 7. h(g(-3)) 9. h(f(20)) 8.-gifties…

A: Given functions are called composite finctions. To h(f(20)) we first find f(20) then we find…

Q: 2х f(x) = (1 – x²)² a. Express f(x) as a power series. b. Determine the sum of 2n=1-I° 4n- c. Find…

A: The given function is: f(x)=2x(1-x2)2

Q: if h(x)=x2-6, find h-1(x)

A: To find the inverse of the function, use the below steps. Replace h(x) by y, so we get y = x2 - 6

Q: II. If f(x) = x², g(x) = 5x and h(x) = x + 4, find each value: 7. h(g(-3)) 6. f(h(-9)) 8. g(f(8))

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Q: If f(x) = 2×, show that f(x + h) – f(x) = 2×( 2" -1). h Simplify your answers completely at each…

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Q: If f(x)=x^2 −1,g(x)=2x−3, find the following new functions, as well as any values indicated A)…

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Q: d²y + 4 + 4y %3D 0, у(0) %3D 3, dy (0) = 1 dx %3D dx² dx

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Q: Let f(x) = 6x/x2+3. How do I solve if this is even, odd, or neither?

A: Algebraically, f is even if and only if f(-x) = f(x) for all x in the domain of f. Algebraically, f…

Q: suppose f(x)=1/x and f(g(2))=-1/3. find two possible equations for g(x). show how you know

A: Given that  and .The aim is to find the two possible equations for .

Q: -2 -1 0 1 3 5 6

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Q: Find f. f"(x) = 6 + 6x + 36x², f(0) = 3, f(1) = 14

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Q: x) = (1/3)x - 6

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Q: Define the functions (x) =x² + 2x - 3 and g(x) =Vr + 6 а. Find the value of b. Find the value of…

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Q: If y = f(x) is the solution of y" – 9y" +26y' – 24y = 0, f(0) = 4, f'(0) = 15, f" (0) = 44, then

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Q: y" + 16y2x sin 4x

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Q: Calculate the value of n if f(x) = (8 - x)*/3 and 16" = f(16).

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Q: If f(x)=1+x /x, for which value of x does f(x)=5?

A: Given function f(x)=x+1x