Solve the problem. If f(x) = x² - 4 and g(x) = x + 5, find (fo g)(3) and (g o f)(-3). %3D (fo g)(3) = %3D (g o )(-3) : %3D

Q: F(X) = -X4  + X2 +3 How to solve for x?

A: Given,

Q: Solve the equation for x. (ex)2 . e2-3x = 4

A: Given equation: ex2×e2-3x=4

Q: Given f(x) = ar² + 2x and f'(1) = 5, solve for a.

A:

Q: If g(x) = 3(x – 5)², solve g(x) = 27. %3D %3D

A: Going to solve the problem by just putting the value.

Q: Find the general solution of the equation x' + 5x(t) = 3.

A:

Q: x² + y² = 7 X=7 O igular (solve) x² + y² = 49. - Option 1 O

A: Given that r=7  r2 =49 let x= 7 cos(theta) y=7 sin(theta)

Q: f(x) 3. g(x) = V2 - x 2-16

A:

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 36x2/3 − 2x…

A: We have to find the number of units x that produces a maximum revenue R in the given equation.…

Q: 1. Solve the equation. f'(x) = 6f (x) and f(2) = 9 А. f(x) = 6e9x+2 В. f(x) = 9e2x+6 %3D С. f(x) =…

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Q: If f(x) = x² – 2x & g(x) = 3 – x then solve the equation a) (fog)® = 0 b) (gof)) + x² + 5 = 0 &

A:

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 33x2/3 – 2x…

A: Given:- R = 33x(2/3) -2x To find:- Number of units x produces a maximum revenue R

Q: f(x) = {k(6x (6x + 2x³) 0 Find the value of k. 0≤x≤B otherwise

A: Solution is  given below

Q: I. determine its domain and range with solution. x² – 81 1. f(x) = x + 9

A:

Q: 8. Given f(x) = 2x- 5 & g(x) = 3x +4, solve for g o f(x). a. 11 - 6x b. 6x2 - 7x - 20 C. 6x - 11 d.…

A:

Q: 1. Solve the equation. f'(x) = 6f (x) and f (2) = 9 А. f(x) = 6e9x+2 %3D В. f(x) = 9e2x+6 %3D С.…

A: We need to solve the equation f'(x)=6f(x) and f(2)=9

Q: bx-'x5/cxfx1 b-1 (x"x/c 1/b (e) 6x0.2 = 5y0.4 (solve for y in terms of x) %3D x = (2-1/2)-1/2 (solve…

A: Since you have posted multiple sub parts, as per our policy we will answer first three subparts.…

Q: Solve for the general solution (D4 – 16)y = x* + x + 1

A:

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 72x2/3 − 4x

A:

Q: The revenue from sales of x units of a product is given by R(x) = 125x-0.01x, and the cost of…

A:

Q: How many solutions does the equation e^−x^2 = x have?

A:

Q: e2x (x3 - 2) x(3e5x +1) 52. f(x) = %3D

A:

Q: Solve the equation. f' (x) = 6f (x) & ƒ (2) = 9. f (x) = e6x+9 O f (x) = 9e6x– 12 O f (x) = 9e²a+6 O…

A:

Q: Follow the instructions and solve.

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Q: the value of x for the equation e4z+12 = 1 is %3D O a. x=3 O b. x=4 O C. X=-3 O d. x=6 O e. x=-4

A: The given equation is = e4x+12 = 1 And the value of x =?

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 24x2/3 − 2x

A: Given equation for revenue is, R = 24x23- x

Q: g(x)=2x-1

A:

Q: (x* -3x,ifx 22 Find g(x). g(0). g(-2) x+2, ifx < 2

A:

Q: Find the real solutions to the equation. x^2e^x-e^x=0

A:

Q: Solve the nonlinear equation f(x) = e*-3x using: %3D

A: Muller method

Q: f(x)=2x2  g(x)=5x+7 (gof)(x)=

A: Given ,  f(x)=2x2  g(x)=5x + 7 We have to find (gof)(x)

Q: During a nationwide program to immunize the population against a new strain of the flu, public…

A:

Q: Find the solution. 6y-2y = xy (x-1)+e B -1)-a

A: Solution

Q: Solve equation for X E3 ax. 3x %3D /3 +20

A: We assume "z" then substitute in the given equation and solve for z by factoring

Q: solve

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Q: g(x) 4x-3 and h (x) = 3x+4 g(n(-2)) then what is

A: The functions gx=4x-3 and hx=3x+4 then we have to find gh-2.

Q: Solve the problem. 3) Bob owns a watch repair shop. He has found that the cost of operating his shop…

A: Given the cost of operating the shop is

Q: e* +x² – 2x + 4 f(x) = %3D 6.

A:

Q: Given the functionf(x) = 2x - 8 a) Solve for x if f(x) = - 14 %3D b) Solve for x if f(x) = 6

A: fx=2x-8 a). Put fx=-14 in fx=2x-8, we get -14=2x-8⇒2x=-14+8⇒2x=-6⇒x=-62⇒x=-3

Q: g) u = x³ + 3x²y

A:

Q: What is the equation of h (x) = f (g (x))? %3D f (x) = 3x² + 1 g (x) = -x + 2

A:

Q: "D² - D - 2)y= 1 - 2x - 9e -x

A: Given differential equation D2-D-2y=1-2x-9e-x Auxiliary equation m2-m-2=0(m-2)(m+1)=0m=2, -1 hence…

Q: g(x)=-3x^2-x+3, solve g(x)>0

A:

Q: Solve the equation  e^(x^2+2x+1) = e^-(2x+2)  for x

A: We have to solve for x Given that e(x^2+2x+1)=e-(2x+2) Equating both power( because base is equal)…

Q: 5. A fast food restaurant has a cost of production C (x) = 14x + 171 and a revenue function R(x) =…

A: Profit function from cost and revenue function

Q: g(x) = 3x2 + 12x + 1

A:

Q: f(x) = -4x+1 g(x) = 4x +3 a. (fog)(9) b. (gof)(-4) c. (fog)(x)

A:

Q: c. Solve x2 + 4x-y+3 = 0 and x-y+7 = 0 using any of the two methods.

A:

Q: Solve f(x)=2x2+7x-4 and select all of the solutions below. C%3D X=-4

A: Given: f(x)=2x2+7x-4

Q: -2x *(6x-15x² +9x) =x'e* D² -D+3 true Error

A:

Q: g(x) = 3 – x %3D

A: answer of given question is in step 2

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.