How has the function g(x), shown below, been transformed from the parent function, f(x) = x? ? %3D g(x) = x2 - 3 %3D The function g(x) has been translated right 3 units. The function g(x) has been translated down 3 units. O The function g(x) has been translated left 3 units. O The function g(x) has been translated up 3 units.

Q: f(x)=2x-5        g(x)=3x2-3 (g o f)(x)

A:

Q: The table shows the inputs and outputs for the function f(x)=−7x−5.f(x)=−7x−5.     When the input…

A: The given function is: f(x)=-7x-5

Q: x+8 f(x) = 6x-8, g(x)= %3D

A:

Q: 12) f(x) = 3x° – 2x2 g(x) = 3x – 5 Find (f g)(1)

A:

Q: x²+4 f(x) = %3D Jx2- x-6 find the do o main and range

A: Graph of the function is shown below

Q: f(x)=3x+5 and g(x)=x^2 -2x-5 What does (G o F) (5) equals

A: Consider the functions

Q: 4. f(x) = e5x² x1o f'(x) =

A: We have given fx=e5x2x10   Product rule for differentiation. ddxu·v=uddxv+vddxu Here, u=e5x2, v=x10…

Q: 3 g(x) = 2.x'x 5 4.

A: g(x) = 3/2x3 + 5/x2       g(x) = 1.5x-3 + 5x-2   g'(x) = 1.5 (-3) x-4 + 5(-2) x-3        = -4.5x-4…

Q: f(x) = x^2 + 3x - 4 evaluate the f(2a^2)

A: Given fx=x2+3x-4. To evaluate: f2a2 Solution: We have, fx=x2+3x-4 Put x=2a2 in the above equation.…

Q: 3x-4 x > 1, f (x) = 0, elsewhere.

A: Given: fx=3x-4   x>1

Q: f(9(x)) = 5 (x + 4) 2 f(g(x)) = (2a² + 3x – 5)7 f(g(x)) = (3x – 1)25 1. - 3.

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: f(x) = 3x − 1, h(x) = −2x2 + 3x − 7. f (7/3) − h(−2)

A: Given functions are  f(x)=3x-1,   h(x)=-2x2+3x-7 Substitute x=7/3 in f(x) and x=-2 in h(x)…

Q: 7. f(x) = x + √√/2x - 3, 3 2 x - 3 x-2' 8. f(x) = g(x) = 3 g(x) = = 3 r2 – 5r+6

A: Given  7.   f(x) = g(x)

Q: A study indicates that spending money on pollution control is effective up to a point but eventually…

A:

Q: The total cost (in dollars) of producing a product is given by C(x) = 800x + 0.1x2 + 1200 where x…

A:

Q: 1. g(x) (x - 4)2/2

A: Find g’(x) and equate to 0 to find the critical point.

Q: 8) f(x) = 4x + 8 g(x) = x + 3 f(x) * g(x) = ? a) 4x + 24 b) 4x + 20x + 24 c) 4x2 + 12x + 24 d) 4x2 +…

A:

Q: 4. f(x) = -3 (x + 8)2 -20 a= b= C= h= k=

A: We can find answer to the blanks as below.

Q: f (x) = x + 6/x - 6, g(x) = x - 6/x + 6

A: Given that, fx=x+6x-6gx=x-6x+6

Q: How does y = 3/(x - 2) + 1 differ from the parent function y = X

A: Parent function y=√x We got a new function after modified parent function.. y=3√(x-2)+1 Now…

Q: f(x) = -x- 5 g(x) = x² – 4 Find f(x) + g(x) %3D

A: We have a given function f(x) and g(x)  We have to find the sum of both function.

Q: -3 (a) f(x) = x + 6 x² – 81 (b) f(x) : %3D х — 8 3 (c) f(x) = еЗх — 32

A:

Q: 1) g(x) = 2x + 4 A)

A:

Q: 25. f(x)=2x, 0<x<2

A: 25 Given function is fx=2−x, 0&lt;x&lt;2. We have to find the even and odd extensions of the given…

Q: 4х 3. f(x) = g(x) = ( x* + 3) %3D %3D 6х + 3 Find : (f0 g) x and (g0f) 5

A:

Q: 1. g(x) (-2.5)"

A:

Q: 4 f (g(x)) = (3x² – 2x + 4)6 f (g(x)) = (x)(x² + 3)² - 5.

A: We have to find derivative of given function.

Q: 7. f(x)=5x- 3. For what value of x does f(x) = 32?

A: We have to find x

Q: Let k(x)=f(x)g(x)/h(x). If f(x)=−4x+3,g(x)=2x+2, and h(x)=−3x^2−4x+4, what is k′(x)? Simplify your…

A: We have to find the derivative of function k(x).

Q: ​f(x)=−22x+4 and ​g(x)=x^2−22. How do I find the difference (g-f)(x)

A: Given,

Q: 7x2 + 8x + 6 If f(x) then: f'(x) = f'(4) =

A:

Q: 3x2 + 8x + 6 If f(x) = then: f'(x) = f'(2) =

A:

Q: 4x2 + 6x + 7 If f(x) = then: f' (x) = f'(2) = %3D

A:

Q: A8: By use of the chain rule, differentiate the function f(x) = (e2x – 1)5. %3D

A: our objective is to find the derivative.

Q: For what values of x is fAx) = x' + 3x - 1 increasing? Explain.

A:

Q: Are these two functions equivalent? Justify your answer in more than one way. i) g(x)= -4(2x+6)^2…

A:

Q: f (x) = 3x + 5 f(g(x)) g(x) = x – 7 3x - 2 3x - 26 3x - 16 4x - 2

A:

Q: 10) f(x) = x³ + 2 f"(x) = ?

A: Given query is to find the indicated inverse function.

Q: What is the x-value of the point of inflection of the function f (x) = a³ – 4x² + 4x +3? O The x…

A:

Q: Different iate G(x)= (Sx²+8)(2x +Tx) )(2x+Fx) G'W = G(x) %3D

A:

Q: II. f(x) = 9 - x g(x) = x? + x 10. g(f(x)) 11. f(g(x))

A: From the given problem: fx=9-x ; gx=x2+x

Q: If f(x)=8x³ (power value: 3) , g(x)=x/3, (power value: 1/3), then what is fog (x) =?

A:

Q: Evaluate h(4), where h = go f. 3 f(x)=√x²9, g(x) = 6x³ +9 h(4) =

A: The given functions,fx=x2-93, g(x)=6x3+9

Q: 1 g(x) = (3x3 + 5x + 4)3/4 g'(x) = Need Help? Read It

A:

Q: 2. Consider f (x) = 2x3 – 3x2 – 59x + 30. Part A: Determine if (x – 5) is a factor. Part B:…

A:

Q: & g(x)=3x+4 find

A: Answer :-    given ,          f(x) = 2x - 5   and g(x) = 3x +4then we have to find (fog)(x).ie,…

Q: Find the value of k. f(x) x 21 4 g(x) - x + k k = %3D

A:

Q: nat is the inverse of g(x) = 1 – 3x? g-1(x) = g-1(x) = x-1 3 O Option 2 otion 1 -"(x) = 1+x 1-x…

A:

Q: (g⋅f)(−6)f(x)=5x+4,g(x)=−2x2+5x−6

A: