There were 2000 applicants for enrollment to the freshman class at a small college in the year 2010. The number of applications has risen linearly by roughly 150 per year. The number of applications f(x) is given by f(x) = 2000 + 150x, where x is the number of years since 2010. a. Determine if the function g(x) x – 2000 - is the inverse of f. 150 b. Interpret the meaning of function g in the context of this problem.

Q: The monthly sales for January for a whole foods market was $60,000 and has increased linearly by…

A:

Q: Suppose f is a linear function such that f(3) = 3 and f(7) = -4. Find the equation for f. (Use x as…

A:

Q: How has the function g(), shown below, been transformed from the parent function, f(x) = x² ? g(x) =…

A: We can translate a graph of f(x) right c units by subtracting c inside the function argument f(x—c).…

Q: Consider the following f(-6)=-7  , f(1)= 4 Write the linear function f that has the given function…

A: Given :  f is linear function. f(-6) = - 7  f(1) = 4

Q: Consider the function h(x) = (2x3 - 5)5 + (2x3 - 5)4. Write h(x) as a composite function, f ( g…

A:

Q: Suppose that f is a linear function with slope -3.4 and that f(3) = 8. What value of x gives f(x) =…

A:

Q: Differentiate the expression with respect to x, assuming that y is implicitly a function of x. ( x2…

A: It is given that y is implicitly a function of x. =x2+y23/2 differentiate with respect to x

Q: An environmental scientist found that the number of gallons of a pollutant in a lake is growing…

A:

Q: Q3:Discuss the behavior of the following function as x0:

A: We have to discuss the behavior of the following function as x tends to 0. So, f(x) = 0 if x <_…

Q: Express the given function h(x) = (2x - 5)3 as a composition of two functions f and g so that h(x) =…

A:

Q: Differentiate the expression with respect to x, assuming that y is implicitly a function of x.…

A:

Q: Suppose f is a linear function such that f(4) = 8 and f(7) = 2. Find the equation for f.

A:

Q: Find the point of diminishing returns (x.y) for the function R(x), where R(x) represents revenue (in…

A:

Q: 6. Use the table to write a linear function that relates y to x. -1 2 y 3 -3 Sub

A:

Q: Determine whether y is a function of x x2 + y2 = 16

A: To Determine: y is a function of x2+y2=16 Concept: A function f:A→B is a relation for which each…

Q: Suppose that f is a linear function with slope -3 and that f(2) = 8. Find the equation for f. f(x) =

A:

Q: Find the domain of a function of the form f (x) = va – x².

A: Given function:- f(x) =√(a-x2)  To find:- Domain of given function f(x)

Q: What is the inverse of the function of g(x) = x^3

A:

Q: Differentiate the function P = e-0.9t. P =|

A: P=e-0.9tTo differentiate w.r.t t

Q: Determine the end behavior of the graph of the function. h (x) = 11x° + 7x* – 5x' +7x-7 As x-00, h…

A:

Q: Consider the function f(t) = = -X 3-x (x − 3)² - if x 3

A:

Q: The number of residues of the function f(2)= (2+1)(2²+4) are

A: Number of residue is to find the number of zero's of the denominator of the rational function after…

Q: If f is a linear function,  f(0.1) = 5.4,  and  f(0.4) = −12.3,  find an equation  f(x)  for the…

A:

Q: e following three functions will be largest for large values of x? (A)f(x)= x2 (B)r(x)= 4-x…

A: GIVENf(x)=x2,r(x)=4-x,h(x)=x16

Q: Suppose that f is a linear function with slope -3.2 and that f(3) = 4. What value of x gives f(x) =…

A:

Q: Graph the function using translations. f(x) 3*+1 4

A: Given, y= 3x+1 Let y=0, 3x+1=0 Therefore, x-intercept doesn't exist.   Let x=0, y= 31+0=31 y= 3…

Q: Determine whether the function is one-to-one. h(x) = x2 - 2x

A: Given: h(x)=x2-2x Determine the value of the function at x=0. h(0)=02-2(0)=0

Q: The manager of a furniture factory finds that it costs $2600 to manufacture 70 chairs in one day and…

A:

Q: Suppose f is a linear function such that f(3) = 5 and f(9) = -4. Find the equation for f. (Use x as…

A:

Q: If the function f is defined by f(x) =2x - 3, find the equationthat represents the inverse of f.

A: Given : fx = 2x-3

Q: Wyatt has a baby daughter. When she was first born, she was 20 inches long, and she grows 1 inch…

A: topic - linear function

Q: Identify the parent function of f(x) = (x + 3)°.

A: Given function is f(x)=(x+3)3 Parent function of the given function.

Q: Suppose f is a linear function such that f(2) = 5. If the slope of f is 2.7, then what is f(6)? f(6)…

A: We have to find function value

Q: The population of a town in Texas is modeled by the function f(x)=16,869(1.037)x. If the initial…

A: We have given population modeled by the function  f(x)=16869(1.037)^x For initial population put x=0…

Q: Use the graphs of piecewise- linear function y=f(x) and the linear function y=g(x) to answer the…

A:

Q: suppose f is a linear function with f (6)= 18.04.  If the slope of is 2.34, what is the value of f…

A:

Q: The amount of foreign earnings​ (in trillions of​ dollars) kept overseas can be approximated by the…

A: Given:

Q: Differentiate the function. h(t) = √√t - 7et -6 (F) h'(t) = -7e² =-- (1) t

A: The given function is: ht=t7-7et   As we know that; The Sum/Difference Rule: f±g'=f'±g' The Power…

Q: whether y is a function of x. y2 =6x

A:

Q: Evaluate the piecewise function at the given value of the independent variable. f(x) = [x - 1 ={x -…

A: NOTE: Refresh your page if you can't see any equations. . here we want to find the value of f(-5)…

Q: Evaluate the piecewise function at the given values of the independent variable. x2-4 if x#2 h(x) =…

A:

Q: Determine whether the equation x2 + y2 = 16 defines y as a function of x.

A: x2+y2=16 On simplification, we get y2=16-x2⇒y=±16-x2

Q: Differentiate the following function. f(x) = e - 5x2 + 5x

A: Given function is f(x)=e-5x2+5x By using chain rule of differentiation, df(u(x))dx=f'(u(x))u'(x)…

Q: Q3 Discuss the behavior of the following function as x0:

A: Now this is a piecewise-defined function whose value is 0 for non-positive values and for positive…

Q: Determine whether the equation x2 + y2 = 25 defines y as a function of x.

A: Given equation x2+y2=25 Solve the above equation, we get x2+y2=25y2=25-x2y=±25-x2 In the above…

Q: Suppose that f is a linear function with slope -2 and that f(3) = 8. Find the equation for f. (Use x…

A: A linear  function with slope m and y-intercept c is given as:…

Q: For the piecewise linear function, find (a) f(-4), (b) f(- 1), (c) f(0), and (d) f(2). 2x if xs -1…

A:

Q: Determine whether the equation x + y2 = 5 defines y as a function of x.

A: Our Aim is to determine whether the equation x+y2=5-(i) defines y as a function of x.