Let f(x) = 3x- 2/x- 3 and g(x)= 3x +2/x-3. Find a formula for each of the following expressions. Find their domains. (a) (f+ g)(x) (b) (f– g)(x) (c) (fg)(x) (d) (x) (a) (f+g)(x)= (Simplify your answer. Type an exact answer, using radicals as needed.)

Q: x + 4 if f = 2r3 +1, find f(1). 5x – 4 -

A: Given,

Q: Let f(x)=8x^3-18x^2-11x+15. Solve, algebraically, f(x)=0

A:

Q: f (x) = (x + 2)(x - 1)[x - (4 + 3)][x - (4 - 3i)]

A: Given F(X)=(x+2)(x-1) [x-(4+3i)]]x-(4-3i]

Q: For a dosage of x cubic centimeters​ (cc) of a certain​ drug, the resulting blood pressure B is…

A:

Q: (-x -2 -2SXS-1 -1<xS1 1<xS2 find f(1). f(-1). f(1.5), f(-1.5). ff(0.5)) (-x+2

A: We  have given  fx=-x-2      -2≤x≤-1x                  -1&lt;x≤1-x+2       1&lt;x≤2

Q: 18. Solve f(x) = x-1+7 and identify its domain and range

A:

Q: 2. f(x) = x 3 - 10x 12 = 0 a.

A: We use synthetic division method

Q: Find real values of x for which f(x) = 0. f(x) = 15 − 3x

A: Given: fx=15-3x To find the real values of x for which fx=0. Solution: Put fx=0 and then solving for…

Q: how is this equation odd?  f(x)=1/x+15x^3

A:

Q: The gross domestic product​ (GDP; in trillions of​ dollars) for Country A and Country B can be…

A: Consider the provided question, We have to find the first full year in which the country A’s GDP…

Q: Solve for x. Show your work. 4x + 5 = 23 4x - 5 = 8x +7- 6x 6. 5.

A:

Q: Determine the image of the function x2 – 12x + 27 f(x) = x2 – 4x + 5 for all æ E R. Solve the…

A: .The given rational function is f(x)=x2-12x+27x2-4x+5. We can determine the image of the function…

Q: Graph the function

A:

Q: Find real values of x for which f(x) = 0. f(x) = 4x + 6

A: To find the real values of x for which fx=0. Solution: Put fx=0 and solve for x.…

Q: x-1' Find the value of the constant A for which the follo

A: Find the value of A

Q: a) evaluate f(2) b) solve for f(x) = 2

A: Given,  We have to  a) evaluate f(2) b) solve for f(x) = 2

Q: find the value of (k) to continue the function x²-3x2-4x+12 f(x)={ * * 31 x-3 x = 3.

A:

Q: 6. Given f (x) = 6x – 4, solve for x for which f (x) = 7 -

A: For the given f(x), equate f(x)=7.

Q: Solve for f(x)+g(x) f(x)-g(x)   f(x)= 3x + 2, g(x)= 2x + 5   SHOW STEPS****

A: Given that the function: fx=3x+2  ,  gx=2x+5

Q: If f (x) = (x2 + 3x) e2", then what is the value of f'(-2)? Express your answer in simplest form…

A:

Q: What is the end behavior for this equation? f (x) = - (x+3)² + 1 %3D | O As x -0, f (x) -00, and as…

A: The given function is: f(x)=-(x+3)2+1

Q: How to solve for f(x)=x2+7 and g(x)=2x+5  A.(fog)(2)

A: Given :  f(x)= x^2+7 g(x)=2x+5 f(g(2))=?

Q: 2. Find the Domain of the function: h (x) = 4x x (x² – 9)

A: Given function h(x)=4xx(x2-9)

Q: Find the value of the constants a and b given that F'(x)= 2ax + b, F(3)= 47, F(-2)= -3, and F(1)=3.

A: We have given F'x=2ax+b Then, integral on bothe sides we get ∫F'xdx=∫2ax+bdx Fx=ax2+bx+c where c is…

Q: f(x) = x3 -3x2 - 3x +1 x=-1 is a root of the function how would you show that?

A:

Q: 2. If f (x - 2) = 2x + 5, what is the value of each of the following?

A:

Q: If f(x) = 3x - 2 and g(x)=x²-1, find a formula for (fog)(x). Enter your answer as an expression…

A:

Q: x²-1 3. f(x) = -1;ƒ' (1) 2x+1

A: Solution is given below:

Q: Given the functions g(x) = 5x - 2 find g-1(x)                                               4x + 3

A:

Q: f(x) = 4x² + 2, and g(x) = /2x –1, find simplified formulas for ƒ • g and g• f,what is the domain of…

A:

Q: In order to solve the equation 2x + 7 = -x + 1, a student graphs two functions, f(x) and g(x). f(x)…

A: We can find the answer as below.

Q: = x² + 2x – 8,and Let f(x) = 2x + 8, g(x) h(x) = 3x 6. Perform the indicated operation. (Simplify as…

A:

Q: Find h'(-3) if h(x)=4g(x)-5f(x), f(-3)-7,and g'(-3)=-2. Oh'(-3)-0

A:

Q: 5. f '(x) = 7x + + – x³ find f(x) if f(0) = 7 -

A:

Q: Solve: If f(x)=3x-1 and t(x)=x+1, what is the domain of t. The domain is : Example: x7

A:

Q: Given the function f(x) = 5x+3/2x-1 a. Determine f-1(x). b. Hence solve the equation 5x+3/2x-1 = 8

A: solution of the given problem is below...

Q: f(x)=8^(x^2+4x) f'(1)=?

A:

Q: f(x)=x^5 - 2x^4 + 3x^3 + 9; f(3)

A:

Q: An approximation of f'(2.5) is: -0.52083 -0.09895 -0.14825 -0.14583

A: We will apply the continuity of f(x) at point x=2 to find the unknown value of a  Next we will take…

Q: 13. The domain of f(x)=3x+5+2x' is 14. The range of f(x)=3x+5+2x' is 15. What is the value of the…

A: We have to find domain

Q: F(x) = 2x^2 -4 F(x+h)-f(x) /h =?

A:

Q: 3. For f(x) = x - 10, find the solution to f(x) = 5.

A: f(x) = x - 10 f(x) = 5

Q: 2. f(x) = 3x? – 2x 3. f(x) = 1/x3 12

A:

Q: how would I solve Suppose f(x)=7(2.1)^x and g(x)=56(1.3)^x. Solve f(x)=g(x) for x?

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Q: Suppose f(x) = x² + 3x and g(x) = x. Solve the following inequality using a gn analysis and write…

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Q: f(x) = (x° + 4x + 4)³ 3 3

A:

Q: find the value of f(-1) and f(3) y={3x+1      if x<3} {x^2      if x≥3}

A:

Q: 4) f(x) = ! g(x) – - - - 3

A:

Q: = x² + 2x – 8,and Let f(x) = 2x + 8, g(x) h(x) — Зх — 6. Perform the indicated operation. (Simplify…

A:

Q: x²-1 for x1 -1+ 3. 2. 4.

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.