Question

In: Advanced Math

For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the...

For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain.

f left parenthesis x right parenthesis equals StartFraction 7 x plus 9 Over 9 x minus 7 EndFractionf(x)=7x+99x−7;

g left parenthesis x right parenthesis equals StartFraction 9 x Over 9 x minus 7 EndFractiong(x)=9x9x−7(a) Find

(fplus+g)(x).

(fplus+g)(x)equals=nothing

(Simplify your answer.)What is the domain of

fplus+g?

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.The domain is

StartSet x vertical line nothing EndSetx .

(Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)

B.The domain is

StartSet x vertical line x is any real number EndSet{x x is any real number}.

(b) Find

left parenthesis f minus g right parenthesis left parenthesis x right parenthesis(f−g)(x).

left parenthesis f minus g right parenthesis left parenthesis x right parenthesis(f−g)(x)equals=nothing

(Simplify your answer.)What is the domain of

f minus gf−g?

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.The domain is

StartSet x vertical line nothing EndSetx .

(Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)

B.The domain is

StartSet x vertical line x is any real number EndSet{x x is any real number}.

(ftimes•g)(x).

(ftimes•g)(x)equals=nothing

(Simplify your answer.)What is the domain of

ftimes•g?

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.The domain is

StartSet x vertical line nothing EndSetx .

(Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)

B.The domain is

StartSet x vertical line x is any real number EndSet{x x is any real number}.

(d) Find

left parenthesis StartFraction f Over g EndFraction right parenthesis left parenthesis x right parenthesisfg(x).

left parenthesis StartFraction f Over g EndFraction right parenthesis left parenthesis x right parenthesisfg(x)equals=nothing

(Simplify your answer.)What is the domain of

StartFraction f Over g EndFractionfg?

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.The domain is

StartSet x vertical line nothing EndSetx .

(Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)

B.The domain is

StartSet x vertical line x is any real number EndSet{x x is any real number}.

(e) Find

(fplus+g)(44).

(fplus+g)(44)equals=nothing

(Type an integer or a simplified fraction.)(f) Find

(fminus−g)(33).

(fminus−g)(33)equals=nothing

(Type an integer or a simplified fraction.)(g) Find

(ftimes•g)(22).

(ftimes•g)(22)equals=nothing

(Type an integer or a simplified fraction.)(h) Find

left parenthesis StartFraction f Over g EndFraction right parenthesis left parenthesis 2 right parenthesisfg(2).

left parenthesis StartFraction f Over g EndFraction right parenthesis left parenthesis 2 right parenthesisfg(2)equals=nothing

(Type an integer or a simplified fraction.)

Solutions

Expert Solution

Colby Messinger answered 1 year ago

Next > < Previous

Related Solutions

If f and g are both differentiable functions. If h = f g, then h'(2) is: ___________________

If f and g are both differentiable functions. If h = f g, then h'(2) is: ___________________ Given the function: y=sin(4x)+e^-3x and dx/dt = 3 when x=0. Then dy/dt = ________________ when x=0. Let f(x) = ln (√x). The value of c in the interval (1,e) for which f(x) satisfies the Mean Value Theorem (i.e f'(c)= f(e)-f(1) / e-1 ) is: _________________________ Suppose f(x) is a piecewise function: f(x) = 3x^2 -11x-4, if x ≤ 4 and f(x) =...

In this question we study the recursively defined functions f, g and h given by the...

In this question we study the recursively defined functions f, g and h given by the following defining equations f(0) = −1 base case 0, f(1) = 0 base case 1, and f(n) = n · f(n − 1) + f(n − 2)^2 recursive case for n ≥ 2. and g(0, m, r, k) = m base case 0, and g(n, m, r, k) = g(n − 1, r,(k + 2)r + m^2 , k + 1) recursive case for...

In this question we study the recursively defined functions f, g and h given by the...

Consider the reaction, 2 D(g) + 3 E(g) + F(g) => 2 G(g) + H(g) When...

Consider the reaction, 2 D(g) + 3 E(g) + F(g) => 2 G(g) + H(g) When H is increasing at 0.85 mol/Ls, how quickly is F decreasing?

Given 8 cards: A, B, C, D, E, F, G, H How many ways can all...

Given 8 cards: A, B, C, D, E, F, G, H How many ways can all the cards be arranged if you select with replacement? How many ways can four cards be arranged if you select with replacement? How many permutations are possible if you select 5 cards without replacement? How many combinations are possible if you select 6 cards without replacement? If the B and C cards are made into A cards, and the E, F, and G cards...

Let f(t)=5t2−t. a) Find f(t+h): b) Find f(t+h)−f(t): c) Find f(t+h)−f(t)/h: side note: (f(t+h)=f(t) is on...

Let f(t)=5t2−t. a) Find f(t+h): b) Find f(t+h)−f(t): c) Find f(t+h)−f(t)/h: side note: (f(t+h)=f(t) is on top of fraction and h is on bottom) d) Find f′(t): pls circle the 4 answers

Consider the relation R= {A, B, C, D, E, F, G, H} and the set of...

Consider the relation R= {A, B, C, D, E, F, G, H} and the set of functional dependencies: FD= {{B}—> {A}, {G}—> {D, H}, {C, H}—> {E}, {B, D}—> {F}, {D}—>{C}, {C}—> {G}} 1) Draw FD using the diagrammatic notation. 2) What are all candidate keys for R? 3) If delete {C}—>{G} and change {C, H}—> {E} to {C, H}—> {E, G}, what are all candidate keys for R

Find the absolute maximum and minimum values of f on the set D. Also note the...

Find the absolute maximum and minimum values of f on the set D. Also note the point(s) where these absolute maximum and minimum values are located. f(x, y) = 9x^2 + 36x^2 y - 4y - 1 D is the region described as follows: D = { (x,y) | -2 < x < 3; -1 < y < 4}

Given a normal distribution with 100 and 5-10, complete parts (a) through (d)

Given a normal distribution with 100 and 5-10, complete parts (a) through (d). a. What is the probability that X > 95? The probability that X> 95 is _______ b. What is the probability that X< 85? The probability that X < 85 is _______ c. What is the probability that X < 75 or X> 115? The probability that X < 75 or X> 115 is _______ d. 90% of the values are between what two X-values (symmetrically distributed around the mean)? 90%...

Consider a 2^8-3 fractional factorial design with design generators F=ABC, G=ABD, and H=BCDE a)Find the complete...

Consider a 2^8-3 fractional factorial design with design generators F=ABC, G=ABD, and H=BCDE a)Find the complete defining relation and generate the alias structure using the principle(positive) fraction. Second, determine the design resolution (you need to show your justification). b)List the basic variables and the design configuration (All 32 design points with the + and – signs. You should show the setting for all 8 factors by using the design generators) (Hint: Here there are 5 basic variables which you can...

Subjects

Question

For the given functions f and​ g, complete parts​ (a)-(h). For parts​ (a)-(d), also find the...

Solutions

Expert Solution

Related Solutions

For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the...