=. Evaluate the following. C. Consider f(x) = 4 – x² , g(x) = Vx +3, h(x) 1. (f° g)(1) 2. (g• h)(1) 3. (f g)(x) 4. (g• h)(x) 5. (h g)(x) 2x

Q: Find the derivative of f(w)=w78+2w.

A: dxndx= nxn-1---- Formula f(w) = w78 + 2w f'(w) = d(w78+2w)dw = 78 w77 + 2

Q: tan z, find v(/6), (z – ), V(-z), and express (2z) as a 9. If v(z) function of (z).

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve…

Q: Is the two functions h(t) and g(t), is h-1g-1 (t) = (hg)-1(t)

A:

Q: Find g'(3) given that f(3) = -2 and f'(3) = 4. a. g(x) = 3x² – 5ƒ(x) 2x + 1 b. g(x) f(x) . . e

A: Solution is done in steps

Q: 2. If f(x) = , and g(x) = 4, find the following I-6' function. Simplify your answer. f(9)a)) = %3D…

A: To find the function f(g(x)).

Q: 2 Suppose y is a function of x such that y * and y(4) = -3. Find y. |

A: The differential equation is given by y' = 2x                                   .......(1) Initial…

Q: Determine whether the following functions are even, odd or neither. (a) f(t)=r² +cost 3t (b) f(t) =…

A:

Q: 4. Consider the functions k(x)= 27* and m(x) = 9 · 3ª. (a) Are k(x) and m(x) the same function?…

A: Given: Functions k(x)=27x and m(x)=9·3x

Q: Find the second derivative of f (x) if ƒ (x) = (2x + 3)* %3D A) 4(2x + 3)³ (B) 8(2x + 3)3 (C) 12(2x…

A: Proceed as shown...

Q: 19.What is the derivative with respect to a of f(x) = 4-32 3z+2 4x-3

A:

Q: If (f°g)(x)=2x-1,how might f(x) and g(x) be defined?

A: (f°g)(x)=2x-1 can be written as f(g(x)) So g(x) is the inner or the first function  And f(x) is…

Q: For the function f(x) ƒ(5) ƒ(7) = = = 2-2 calculate the following function values exactly:

A: Given:   fx=2x-2

Q: A. Find the domain and range of each function. 1. f(x) = 1 + x² 2. f(x) = 1 – Vx 3. F(t) 4. F(t) Vt…

A:

Q: 2. Given the function f defined by f(x) = 2x + 3x - 1, find: a. f(0) b. f(1/2) c. f(-3) d. f(3 - x')…

A: f(x) = 2x2+3x-1

Q: Consider the following functions. f(u) = u + 1 h(u) : = Vu + 1 p(u) = 1 - 4u2 (1 – 4u2)9 Vu + 1(1 –…

A:

Q: 2. a) Find a formula for f1 for the function y = f(x) = vx – 35

A: To find f-1 for y=f(x)=√(x-35)

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: