and g (x) For the functions f(x) find the composition fog and simplify your answer as much as possible. Write the х domain using interval notation. (fo8)(x) = 0 Domain of f •g:

Q: What is a 1–1 function? A function f is a 1–1 function if, for any a and b in the range of f, f(a) =...

A: Given:[1]. A function f is a 1–1 function if, for any a and b in the range of f, f(a) = f(b) implies...

Q: How many outfits can be made from 4 pairs of slacks, 5 shirts, and 3 ties, if one selection from eac...

A: First decide on a pair of slacks.For that there are 4 different choices.Now for each of those choice...

Q: Solve:  16x = 1/4-8/x a.) -2  b.) 2  c.) 0  d.) -4  e.) 4

A: Given equation

Q: |3x-12| > 6

A: The given inequality is

Q: The zeros of f(x) = x2 − 5x − 6 are −1 and 6. What are the coordinates of the x-intercepts of the gr...

A: Given:

Q: I wanted to double-check my answer.

A: The given equation is,

Q: question 19 don't understand how to  solve it

A: Given:

Q: Find f −1(x). f(x) = −4x − 8 f −1(x) =

A: The given function is,

Q: d. 3 18. e. 8 20. The number of research articles in Physics Review that were written by researchers...

A: As provided, the number of research articles is given by:A(t) = - 0.01t2 + 0.24t + 3.4Where t is tim...

Q: Find the inverse of the function. If the function does not have an inverse function, write NO INVERS...

A: Given,v

Q: At a concession​ stand, three  hot dogs and two hamburger cost $6.75. Two hot dog and three hamburge...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Suppose that $18,000 is invested in a bond fund and the account grows to $23,344.74 in 5 yr. a. Use ...

A: Given:Suppose that $18,000 is invested in a bond fund and the account grows to $23,344.74 in 5 yr.

Q: Question number 55

A: Given that the parallelogram is bounded by x axis, the line g(x) = 2 , the line f(x) =3x and the lin...

Q: An earthquake could be felt over a 46,000-mi2 area. Up to how many miles from the epicenter could th...

A: Let the distance from the epicenter is = r = radius of the area.

Q: olve for the indicated variable.   at2 + uy = h    for t

A: Given,

Q: Find the number of terms of the arithmetic sequence. 11, 14, 17, 20, 23, … , 122

A:

Q: Determine if the given ordered pair is a solution to the equation 4|x − 1| + y= 18. a.(−3, 2) b.(5, ...

A: Consider the given equation

Q: determine the x- and y-intercepts of the graph of the equation. −3y+ 4x = 6

A: In order to evaluate the x-intercept of the graph of the equation -3y+4x=6, substitute y=0 in the eq...

Q: solve the equation or inequality. Write the solutions to the inequalities in interval notation. 7 = ...

A: To solve,

Q: Find the equation of the line shown in the graph. Write the equation in slope-intercept form. 7+ 5 6...

A: The line is passing through the points (-6, 5) and (-4, 2).

Q: Find the coordinates of the x-intercepts of the graph of the equation. (If an answer does not exist,...

A: X- intercepts of given graph is obtaineg by setting y=0  and solve for x

Q: Nar Name Date Class 6.7.D Generate equivalent expressions using the properties of operations: invers...

A: Write the expression that is equivalent to the given expression.Using the inverse distributive prope...

Q: A sample from human remains found near Stonehenge in England shows that 71.2% of the carbon-14 still...

A:

Q: 2x -5y= -1 3x + y= 7

A: The given equations are 2x – 5y = – 1 and 3x + y = 7.

Q: Solve each equation. Leave solution in exact form.  a) 24x+1=12x b) log2m+log2(m+10)=log211 c) log4(...

A: To solve each equation:

Q: simplify the complex fraction  5x/x+3 + 1/x-1=1/x^2+2x-3

A: Given expression is,

Q: Melissa Hernandez received an 8-year subsidized student loan of $29,000 at an annual interest rate o...

A: It is given that Melissa received an 8-year loan of $29,000 at an annual interest rate of 4.5%.

Q: Solve. (If there is no solution, enter NO SOLUTION.) y  =  x2 − x − 10 y  =  3x + 11 ...

A:

Q: Log2 (1/32) =

A: Given logarithmic expression is,    

Q: If two fair dice are thrown, find the probability that the sum is between 6 and 8, inclusive.

A: Total number of possibilities:

Q: write slope-intercept equation for a line parallel to the line x - 8y = 3 which passes through the p...

A: To determine equation of line parallel to the line x – 8y = 3 and passes through the point (16, -5).

Q: Gaynelle can travel one of 3 roads from her home to school. From school to work there are 4 differen...

A: Given,Gaynelle can travel one of 3 roads from her home to school. From school to work there are 4 di...

Q: solve the equation or inequality. Write the solution set to the inequalities in interval notation. 0...

A: Given: -

Q: graph the equation.f(x) = 2|x + 3|

A: Use y in place of f(x).This has vertex at x=-3 because x+3=0 gives x=-3.

Q: For Exercise, determine if the functions are inverses. f(x) = 4x− 3 and  g(x)=(x+3)/4

A: Given:

Q: question 31

A: Consider the given function.

Q: determine whether the sequence is arithmetic. If so, identify the common difference 11, 10.2, 9.4, 8...

A: For a sequence to be an arithmetic progression it must follow the common difference procedure as.

Q: An airplane takes 4 hours to travel a distance of 2400miles with the wind. The return trip takes 5 h...

A: An airplane takes 4 hours to travel a distance of 2400miles with the wind. The return trip takes 5 h...

Q: Given the graph of y = f(x) in the figure above, graph  g(x) = f(x + 4) − 6.

A:

Q: Use your graphing calculator to graph the following function over the indicated interval, and round ...

A: The given function is,

Q: The number of books in a small library increases according to the function B= 3700e0.05t, where t is...

A: Given,The number of books in a small library increases according to the function B= 3700e0.05t, wher...

Q: Given f(x) = 2x3 − 5x2 − 28x + 15, a.Find all the zeros of f(x) b. Identify the x-intercepts of the ...

A: “Hey, since there are multiple subparts , we will answer the first three subparts alone. If you want...

Q: The statement a(b + c) = ab + ac represents the ________ property of multiplication over addition.

A: Distributive PropertyThe Distributive Property is an algebra property which is used to multiply a si...

Q: (a) write the equation of the circle in standard form and (b) identify the center and radius. x^2 + ...

A: Consider the provided equation of circle is,

Q: Multiply the binomials. (x− 4)(x− 4) Factor x2 − 8x + 16.

A: First question:

Q: For Exercise,  a.Write the domain and range of f in interval notation. b.Write an equation of the in...

A:

Q: Give the maximum number of points at which the following pairs of graphs can intersect. (a) A line a...

A:  (a) A line and a hyperbola :The maximum number of points at which a line and a hyperbola can inters...

Q: Find the number of terms in the arithmetic sequence. -15,-19,-23,-27,........,-679

A: The given arithmetic sequence is

Q: Write the first six terms of the sequence defined by a1 = −2, a2 = 3, an= −2 + an−1for n ≥ 3.

A: It is given that, first term of the sequence is (a1) = -2, second term (a2) = 3 and the sequence is

Q: While on a tour in Greece, Tatyana saw that the temperature was 10 degrees Celsius. Solve for F in t...

A: To convert 10ᵒ Celsius into Fahrenheit.