1,744 Answered Questions for the topic Functions

12/19/19

Is this a linear or quadratic function?

y = (x+1)(6x-6)-6x^2 Linear or quadratic? What's the linear term? Constant term?

12/17/19

Precalculus Functions

If the function y= -8 + 4sin2(theta + 30°) is shifted down 4 units, right 15°, stretched vertically by a factor of 2, and compressed horizontally by a factor of 2, what would the new equation be?I... more
Functions Calculus Ap Calculus

12/14/19

How do I solve these Calculus problems?

I know its kind of a lot but I'm really struggling and I need help, thank you! Find the equation of the tangent line to the inverse at the given point F(x)= 7x+sin(2x) @(0,0) F(x)=... more

12/14/19

How do I solve these derivative problems?

Find tangent line at point (4,2) of the graph of f^-1 (inverse f(x)) if f(x)=x^3+2x-8?Find the equation of the tangent line to the inverse at the given pointa) f(x)=x^3+7x+2 @(10,1)b) f(x)=... more
Functions

12/11/19

After how many seconds does the ball hit the floor?

The function  gives the height (in feet) of a ball dropped from the height of  after t seconds. A ball is dropped from a height of 8 feet. After how many seconds does the ball hit the floor?
Functions Input And Output

12/06/19

The output is the cube of the input

I need help answering this problem

12/05/19

Inverse trigonometric functions

I can't seem to get the right answer for this question, is there anyway I can some help?The functionH(θ) = 246 sin(θ − 90°) + 296models a person's height in feet on the Singapore Flyer Ferris wheel... more
Functions Math Algebra 2 Calculus

12/04/19

Susan decides to take as a transcriptionist so that she can work part-time from home.

Susan decides to take as a transcriptionist so that she can work part-time from home. to get started, she has to buy a computer, headphones, and some special software together cost her $1000. The... more

11/28/19

Function Operations: How do I divide f(x) = 2x^2 + x − 3 by  g(x) = x − 1?

Let f(x) = 2x2 + x − 3 and g(x) = x − 1.Find  and state its domain.The answers are:; domain is the set of all real numbers except 1x − 1; domain is the set of all real numbers; domain is the set of... more

11/21/19

Trigonometric Function

Use the​ power-reducing formulas to rewrite the expression as an equivalent expression that does not contain powers of trigonometric functions greater than 1.17sin4x

11/21/19

Let y=square root of 1-x Give an equation for: (a) stretched horizontally by a factor 2. (b) compressed horizontally by a factor 2.

if i want to stretch it horizontally by 2 i divide only the x by 2 or all the inner part like (1-x)/2 and for compression the same like i should multiply x only or all of it

I need a step-by-step solution for this limit

I need the limit of f(x)=(6sin(x )^2-sqrt(2)sin(x )-2)/(tan(x )-1) as x->π/4Please don’t use derivates, I haven’t studied them yet. The result should be 5/2, but I don’t know how to get it.... more

11/20/19

Linear equation word problem

Jasmine has been working to save money and wants to have an equation to model the amount of money in her bank account. She has been depositing $175 a month consistently, she doesn’t remember how... more
Functions

11/19/19

Seven times the first number plus six times the second number equals 31. Three times the first number minus ten times the second number is 29

What are the 2 numbers? explain or show your reasoning.
Functions Algebra 2 Algebra Graph

11/18/19

What is the difference between domain of x/x and 1?

if f(x) = x/x and g(x) = 1, then f(x) = g(x). But why is the domain of f(x) is all non-zero all real number and g(x) is all real number?
Functions Math Trigonometry

11/18/19

Trigonometric Functions

A kite with a 168 foot string makes a 68 angle above the ground. what is the height of the kite above the ground to the nearest foot?
Functions Algebra 2

11/15/19

Algebra 2 functions

Suppose that f(x) = x^2 + 3x + 2 and h(x) = x^4 − 3x^2 + 2. Find a function g such that f ◦ g = h. Hint: It is not g(x) = x^2 .

11/12/19

Need help with this math question

A certain bacteria will triple in population every 3.5 hours. A certain test tube contains 50 bacteria. Find an exponential function that models the situation. How many bacteria will be in the test... more
Functions Math Algebra

11/09/19

Owners of a recreation area are filling a small pond with water

Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 26 liters per minute. There are 300 liters in the pond to start. Let W represent the total amount... more

11/02/19

Finding Domain of Function

find domain of the function. f(x) = 5x2 + 2x - 1 g(x) = 1 - 2x2s(y) = 3y y + 5g(y) = √y-10
Functions Precalculus

11/01/19

h(x)=x^2-4x g(x)=3x-3 Find (h*g)(1)

10/31/19

Let P=(x,y) be the point in quadrant I that is a vertex of the rectangle and is on the semicircle of radius r=8

Graph . For what value of  is  the largest ?

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