Use f(x) = 2x - 8 and g(x) = 4-x´ to evaluate fAg(-1)). %3D Find f (g (x)) for f (x) = 7x + 7 and g(x) = 10x - 4. If f(x) = Vx and g(x) = V4 - x, find fg and flg and their domains. fg = ; Domain: flg = ; Domain:

Q: If Q(x) = 7x - 1, find Q(- 9). Q(- 9) =

A:

Q: Зх-2 p) Find the domain of the function f(x) 3D 5x2+4x-1

A:

Q: Differentiate each function by applying chain rule. Match each item to a choice: y = x(x² + 3)² f…

A:

Q: Let f(x) = 3x – 8 and g(x) = x + 2. Find the value of each of the following a. (f + g)(-5) f(2) b.…

A: Put the values in functions and determine the final values

Q: Find x x-3 x-1

A:

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: Let f(x) = 3x+2 and g(x) = 2x- 7. Find (f+ g)(x), (f- g)(x). (fg)(x), and (X). Give the domain of…

A:

Q: If g(x)=2x+1 and f∘g =6x-7, determine an expression for f(x)

A:

Q: Find the difference quotient and simplify your answer. Ax) = x² – x + 1, f(6 + h) – f(6) -, h+0 h…

A:

Q: Find domain of y = x2-7x+10 x2-3x-5

A: Given, y = x2-7x+10x2-3x-5  We have to find the domain of  y = x2-7x+10x2-3x-5

Q: When f(x) : 8x2 + 2x + 3, evaluate f( – 3) f( – 3) =

A: Solution-      Given function f(x) = 8x2+2x+3 Put x= -3 f(-3)= 8× (-3)2+2×(-3)+3 We know (-3)2=9

Q: (Vx +10xdx

A:

Q: Example. Differentiate f(r) = (4r"-5x+4(72-z). n

A: The given function is fx=4x3-5x2+47x2-x.

Q: If ƒ1x2= x2 + 1 and g1x2= x2, find ƒ ∘ g and g ∘ ƒ .

A: Given that, f(x^2) = x^2+1 g(x^2) = x^2

Q: If f(x) = 7x - 2 and g(x) = 4x - x2, determine the following: a. f(x) ∘ g(x) b. (g ∘ f)(-4

A: Follow 2nd step

Q: If f(x) = = x² + 3x - 7 and g(x) = 3x - 2, find the following function. gof

A: Given:f(x)=x2+3x−7g(x)=3x−2 g∘f=g(f(x)) substituting the given…

Q: Let a be a real valued constant. Let f (x) = 3axt. Let h (x) = /2ax + 5 . Determine (f (x) h (x)) .…

A: Here we will use chain rule of differentiation to find the solution

Q: Let f(x) = - 18x + 1 and g(x) = x² + 18. Find f(10) – g(10). f(10) – g(10) =

A: Given: f(x) = -18x+1 g(x) = x2 +18 Find f(10)-g(10)

Q: x-2y/xy2

A: Calculation:The given expression can be written as

Q: 5. Determine the domain ONLY 4-x g(x) = /4-x

A: We have to find the domain of g(x)=4-x4-x Remember Domain of f(x) is defined when f(x)≥0 and domain…