Given that f(x) = x? – 2x and g(æ) = x – 8, calculate (a) (ƒ o g)(x)=| (b) (g o f)(x)=| (c) (f o f)(x)= (d) (g o g)(x)=|

Q: Find the following for each function:(a) f(0)  (b) f(1)  (c) f( - 1)  (d) f( - x)  (e) - f(x)  (f)…

A: 43.  f(x)=3x2+2x-4 (a) f(0) =-4(b) f(1)=3+2-4=1(c) f(-1)=3-2-4=-3(d) f(-x)=3x2-2x-4(e)…

Q: Let f(x) = x² – 2r and g(x) = x + 3. Find each of the following: a. (f + g)(5) b. (f - g)(x) and (f…

A: The given functions are, fx=x2-2xgx=x+3 a. Fiding the function f+g5…

Q: Given the function h (x) = 3x - 1 and g (x) = x2 , evaluate g (h (2)). %3D

A: Given,           The functions are hx=3x-1  and  gx=x2.

Q: For the function f(x) = 3x + 5, what is f(x) when x=3?

A: If fx is a function the value function at x=a is calculated as f3. Consider the given function,…

Q: Which is larger, f(0) or g(0)?

A: By the above graph  g(0)=0.5  and  f(0)=2 See on the graph and easily we can find the value by…

Q: For f(x) = 8x and g(x) = x+4, find the following functions. a. (fo g)(x); b. (g o f)(x); c. (f o…

A:

Q: Find the points of inflection of the function f(x)=x3−3x2−1.

A: Given

Q: 5 and g(X) = 3X the following functions. a. (fo g)(x); b. (g o f)(x); c. (fo g)(- 1); d. (go f)(- 1)

A: Given: fx=x-5 gx=3x2-1 a) f∘gx is given as, f∘gx=fgx               =f3x2-1               =3x2-1-5…

Q: B. CHain Rule *) f(x)= X+2

A: To find the derivative of the function

Q: Evaluate f′′(−2)

A:

Q: Consider the functions (x) = 3x² – x – 4 and g(x) = 2– 5x. Find (a) g(f(-4)) and (b) simplify…

A:

Q: 3. Find and simplify a. f(x)=3x² +5x b. f(x)=2x-x² K f(a+h)-f(a) h for each of the following…

A: (a) f(x)=

Q: Let f(x) = x - 2. Find (f o f)(x) and its domain. (fo f)(x) = (Simplify your answer.)

A:

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: