2. Write composite function y = (2x³ + x + 3)5 in the form of y = f(u) and u = g(x).

Q: 9. Use the product rule to find and state the rule for dif- ferentiating a product of three…

A: The product rule of differentiation is given by,…

Q: Consider the function h(x) = (2x3 - 5)5 + (2x3 - 5)4. Write h(x) as a composite function, f ( g…

A:

Q: Evaluate the function for fx) = x + 3 and g(x) = x2 – 2. (fg)(8) (fg)(8) =

A: The functions f(x)=x+3 and g(x)=x2-2. We have to find fg8=?

Q: Evaluate the function f(x) = ⟨x⟩ + 1 when x = −1, 2, and 32.

A: We have to Evaluate the function f(x) = ⟨x⟩ + 1 when x = −1, 2, and 3

Q: Consider the function P(x) = x3 – 16+ 8x +10x².

A: Rearrange the P(x)

Q: Differentiate the function. f(x) = x6174 + 2x50 – 13x* + 4x – x-6 + n²

A: Derivative of function

Q: Find f.g, g. f, and g. g. f(x) = x + 4, g(x) = x - 9 (a) f.g (b) g.f

A: Explanation and solutions is given below....

Q: finde the difference quotient of f(x)= x2-2x-3 in simplest form

A: Known fact:The difference quotient is computed using the formula is m=( f(x+h) - f(x))/h.

Q: Use the functions below to evaluate and simplify the function compositions. ƒ₁(x) = 4x² – 3x − 1,…

A: Given : f2(x)=7x2-3x-10   To Find : (f2ο f2)(-1)

Q: Let f(x)=x +3 and g(x)=-2x+6. Find each of the following. (a) (f+g)(2) (b) (S - 8)X2) (c) (fg)(2)…

A: we have to find the following

Q: { x 2 1.8x – 6.6, g(x) : -0.4x – 2.2, g(2) = lim g(x) = x-2- lim g(x) = x-2+ lim g(x) = x-2

A:

Q: lim(log(3x +1)) 2. 3 lim(sin (5x2+ 10) 3. *2

A:

Q: Find an expression for the function f(x) whose graph is a line passing through the points (4, 5) and…

A: Find the slope of the line. Start with the slope formula.