1,744 Answered Questions for the topic Functions

Functions Math Calculus Physics

04/12/21

Suppose $18,100 is invested in a monthly compounded account at 3.01%. Approximately how long will it take for the balance to reach $39,820 ?

Suppose $18,100 is invested in a monthly compounded account at 3.01%. Approximately how long will it take for the balance to reach $39,820 ?Round the answer to the nearest tenth of a year. ? years
Functions Math Calculus Physics

04/12/21

A radioactive substance decays from 85mg to 22.1mg in 25 years according to the exponential decay model y=ae-bx, where a is the initial amount and y is the amount remaining after years.  

A radioactive substance decays from 85mg to 22.1mg in 25 years according to the exponential decay model y=ae-bx, where a is the initial amount and y is the amount remaining after years. Find... more

04/12/21

Need help with surjective/injective

Consider the function f:C→C defined by f(x+iy)=(3x+2)+i(y2−1) where x,y are elements of R. Is the function injective? Explain your reasoning. Is the function surjective? Explain your... more
Functions Math Science Algebra 1

04/11/21

combining functions

Find (f∘g)(2) for the following functions. f(−9)=−13 and g(2)=−9(f*g)(2)=???
Functions Math Science Algebra 1

04/10/21

combining functions

f(x)=4x and g(x)=cube of √x Step 2 of 2 : Find the formula for (f/g)(x) and simplify your answer. Then find the domain for (f/g)(x).(f/g)(x)=???Domain=???
Functions Math Algebra 2 Calculus

04/10/21

A radioactive substance decays from 85mg to 22.1mg in years according to the exponential decay model

A radioactive substance decays from 85mg to 22.1mg in years according to the exponential decay model y=ae-bx, where a is the initial amount and y is the amount remaining after years. Find... more
Functions Calculus

04/09/21

How will we find the inverse of x^5/1+x^4 ?

Functions Math Sat Math Algebra

04/08/21

Find the values of x such that f(x)<h(x) given f(x)=1-4^(2-x)[(1/2)^(x+3)] and h(x)=8^x

Find the values of "x" given: f(x)<h(x) f(x)=1-4^(2-x)[(1/2)^(x+3)] h(x)=8^x
Functions Math Sat Math Algebra

04/07/21

If log m (ab) = 4 and log m (a/b) = 12, then find log m a / log m b

Hello! I would really appreciate some assistance in solving this problem algebraically. Thank you in advance!
Functions Math Sat Math Algebra

04/07/21

Given the function f(x)=1-4^(2-x)[(1/2)^(x+3)], find the value/s of x such that f(x)<h(x) if h(x)=8^x

Hello! I would greatly appreciate any assistance in solving this problem involving exponential functions. Thank you in advance!
Functions Calculus Geometry

04/07/21

Challenging cylindrical problem with a derivate solution (no calculator allowed)

A closed cylindrical can with radius r centimetres and height h centimetres has a volume of 20π cm3. (Express the function as h in terms of r)The material for the base and top of the can costs 10... more
Functions Math Algebra 1

03/30/21

Write a function g in terms of f so that the statement is true.

The graph of g is a horizontal translation 2 units right of the graph of f. 
Functions Math Geometry Algebra

03/29/21

Suppose a company just purchased a new computer for 3600. The company chooses to depreciate using the straight line method for six years.

Create a linear function that expresses the book V of the Algebra word problem computer as a function of its age What is the domain of a function graph the linear function what is the book... more
Functions Math Algebra Graphs

03/26/21

Explain what `r(10)=30` means in this situation.

The owner of a small restaurant bought 75 kilograms of rice.  Each week, the restaurant uses 4.5 kilograms of rice. The function `r`gives the remaining amount of rice, in kilograms, as a function... more

03/25/21

Describe the end behavior of the polynomial function: P(x) = x(x^2 − 4)

Describe the end behavior of the polynomial function: P(x) = x(x2 − 4)End behavior:y → _________ as x → infinityy → _________ as x → negative infinity

03/24/21

How do I write an equation of an rational function given these characteristics

Write an equation of a rational function that has no vertical asymptotes, horizontal asymptote at 𝑦 = 5, a hole at 𝑥 = 3 and 𝑥-intercepts at origin

03/23/21

Pre Calc Homework - Solve problems involving the inverses of trigonometric functions

The line y= 3/5 x passes through the origin in the x,y plane.  What is the measure of the angle that the line makes with the positive x-axis?  Give your answer in degrees and radians.

03/23/21

HELP ASAP PLEASE ! algerbra 2, finding inverses functions and relations help

4) Given f(x)=2x−3 and its inverse f−1(x)=x+32, find the following functions:  a) [f∘f−1](x)                   b) [f−1∘f](x)                5) Given f(2)=5, f(5)=7, and f(7)=12, what is the value... more
Functions Algebra 2 Algebra

03/18/21

Deltamath Question

Write the polynomial function as a product of linear factors: p(x)=x5−5x3−45x(I know how to do the question below, but I can't do this one)Example: Write the polynomial function as a product of... more
Functions C++ Vector Factorial

03/17/21

C++ Factorial Problem using Vectors

I am new to C++ and am struggling with a recent practice problem, I have some code so far but can't figure out how to get the variable to update to correctly give the next factorial. Here is the... more
Functions Calculus Derivative

03/15/21

Let g(x)=x^2-2. The equation of the tangent line to the curve at (-1,-1) is 2x+y=-3.

a. What is the slope of the tangent line to the curve at (-1,-1)?b. What is the derivative of the function when x=-1?
Functions Calculus Derivative

03/15/21

Let f(x)=4-x^2. The equation of the tangent line to the curve at (1,3) is 2x+y=5.

a. What is the slope of the tangent line to the curve at (1,3)?b. What is the derivative of the function when x=1?

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