Use the following information to find g(x). f(x) = x° – 8 and (f- g)(x) = x – x* + 4

Q: Find the inverse of f (2) =-3r. %3D The inverse is g(x) |

A: topic - functions and inverse functions

Q: Find the determinant of x from the given matrix: 4 -123 2021 10 301 14 2 4 5 -35 -30 -28 -25

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Q: Solve for x , y and z from the given matrix equation. [ (x - 2) y (2x - 3)]=[ (y + z) 2 (x-1)] 9, 2 ...

A: To solve for x, y and z from the given matrix equation.x-2y2x-3=y+z2x-1

Q: Solve for x. |x + 3 4 x- 1 = 0 STEP 1: Solve for the determinant in terms of x. **-O |x + 3 4 x - ST...

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Q: Using the interval bisection method find the positive root of x – 3 = 0 correct to 4 d.p, with start...

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Q: Find a system of linear equations corresponding to the augmented matrix. 7 0 9 7 0 -5 3 -3 1 7 -9 8 ...

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Q: 60% ? 63%

A: Follow the procedure given below.

Q: Use the determinant of the coefficient matrix to determine whether the system of linear equations ha...

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Q: Solve the following system of equations. 4x+5y 5 8x +5y = 25

A: Explanation of the answer is as follows

Q: 3. A circular pool with a radius of 6 feet has a border with a width of 1 foot. a. ) What is the are...

A: A circular pool with radius of 6 feet Width of border is 1 foot

Q: Evaluate the determinant to determine whether the equation is true or false. |1 x x2 1 y y = (y - x)...

A: In this question we have to evaluate the determinant and the expression.

Q: 1/2 3 -1 -3 -2 -1 -2 y = f(x) -3

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Q: Find the determinant of the matrix. 3.

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Q: Find all values of k for which the following matrices are linearly independent (: 9) (;:) (7) 2 0 -1...

A: To find: The values of k for which the following matrices are linearly independent. Given informatio...

Q: College classes: Math History 14 20 17 3 18 Science 7 13 How many students are taking math? How many...

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Q: Suppose that y varies directly with x, and y= 15 when x= 6. (a) Write a direct variation equation th...

A: If x and y vary directly, y varies directly with x,y ∝ xit means y = kx, where k is the constant of ...

Q: Find all minors and cofactors of the matrix. -3 1 2 5 6 4 1 -3 2 (a) Find all minors of the matrix. ...

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Q: short

A: We will solve the problem. 

Q: Condense to a single logarithm. 3 - log 8 (m) – 2log8 (4n) – 3log 8 (5k) 5 m' log (4n)² (5k)³ Vm³ lo...

A: We have to condense the given logarithm in single logarithm 35log8m-2log84n-3log85k

Q: (1) If you have been hired at an annual salary of $23,000 and expect to receive annual increases of ...

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Q: Task 3 Makea plet that shows the region betveen the curve Sy 4x65 and the line Sy s. The region shou...

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Q: T:R - R*, T(x, y) = (2x – y, 3x + 2y, 4y, x); B = {(1, 1), (1, 0)}, D standard; v = (a, b) %3D %3D

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Q: 5. Given Ho) ==Ba E4 2) Finy Alxth) cand simplify 6) Find Az th)- f2) and simplity

A: topic  -  function and limit

Q: Find all minors and cofactors of the matrix. 23 4 1 (a) Find all minors of the matrix. M11 = M12 = M...

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Q: Suppose that y varies directly with x, and y=6 when x 15. (a) Write a direct variation equation that...

A: A detailed solution is given below

Q: siven f (x), find g(x) and h(x) such that f(x) g(h(x)) and neither g(x) nor h(x) is solely x. 1 f(x)...

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Q: Assuming that all matrices are n X n and invertible, solve for D. CAB" DAC" B = CA". OD = A-'B"CB-'(...

A: This question is related to matrix.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dr

A: Follow the procedure given below.

Q: A visitor is staying in a tent that is 15 kilometers east of the closest point on a shoreline to a c...

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Q: What is the range of the blue dotted line function in the graph

A: what  is the range of Blue dotted line in the graph?   Range: range is set of y values of respective...

Q: Graph the function: /(x)=(x+2)-1

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Q: Newton's Law of Cooling states that the temperature (T) of an object at any time (1), in minutes, ca...

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Q: Find the values of 2 for which the determinant is zero. (Enter your answers as a comma-separated lis...

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Q: How many triangles can be formed from 11 distinct points on the plane, no three points of which are ...

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Q: A well driver charges $10 a foot for the first 10ft $10.50 a foot for the next 10ft , $11 a foot for...

A: for 100 ft we have 10 ft 10 time so cost = 10*(10+10.5+11+11.5+12+12.5+13+13.5+14+14.5) cost = 10(12...

Q: The function f(x) = -X-3)2 - 4, will have a shift of 4 units to the left. O True O False

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Q: Find the Laplace transform of 6t - 5te+5. L{6t- 5te ¯' + 5} = %3D

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Q: 20. x2 = 5x

A: Topic = Equations

Q: According to determinant properties, when two rows are interchanged then signs of determinant Must c...

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Q: Find the quadratic polynomial whose graph passes through the points (1, 4), (2, 19), (3, 40). NOTE: ...

A: To find the quadratic polynomial  y=ax2+bx+c...(1) which passes through (1,4),(2,19) & (3,40).

Q: [ 3. 7 4 M 3 1 Inverse(M) 6 7 3.

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub- par...

Q: Perform the indicated operations, given A = 0 3 1 В — 2 -1 0 -1 and C = 1 2 -1 B(CA)

A: Topic = Matrices

Q: 8. Determine the inverse equations and the domain & range of the following functions, and state whet...

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Q: Find the adjoint of the matrix A. Then use the adjoint to find the inverse of A (if possible). (If n...

A: The solution is given in the next steps.

Q: 2. Find the root using Regula-Falsi Method a) x* - x - 10 = 0 Ans. x = -1.697 and 1.855

A: Follow the procedure given below.

Q: 4x= 2y + 16 SLOPE: Y-INTERCEPT: 5. 10x + 14y - 28 SLOPE: Y-INTERCEPT: 6. y-8 x-6 SLOPE: Y-INTERCEPT:...

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Q: The Digital Star Company makes two different models of computer tablets, which are assembled on two ...

A: Given problem :- The Digital Star Company makes two different models of computer tablets, which are ...

Q: Find the determinant of the triangular matrix. 5 6 -3 0 0 0 0 0 0 0 7 7 5 0 -1

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Q: The sum of the digits of a three-digit number is 8. If the ones and hundreds digits are interchanged...

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Q: Polynomial long division (2x^2+6x-15) ÷ (x+5) give the quotient and the remainder.

A: Solution : Using Polynomial long division