1,752 Answered Questions for the topic Functions

02/17/18

such that h(t)=400−16t^2. Express t as a function of height h, and find the time to reach a height of 300 feet.
This i s a word problem asking for t(h) to be expressed as a function and find the time to reach a height of 300 feet  
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02/13/18

Determine whether two functions are inverses of each other
a) f(x) = 2x+3 g(x) = x-3/2   f(g(x))= ? g(f(x))= ?   f and g are inverses of each other OR  f and g are not inverses of each otherb) f(x)= -6x g(x)= -6x   f(g(x))= ? g(f(x))=?   f... more
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02/12/18

Price-Demand equation expressed for revenue as a function of price
This is the Price Demand equation they gave 20p+x=25   Heres what I got for the function of price. But I dont think I am right. R(p)=p(25-20p)   It also wants an expression for revenue... more
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02/11/18

it is asking to plot the point (3, f(3))
This is a function of x and is asking to plot this point but I am confused.
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Functions

02/04/18

Solve the following: a. If j(x) = 3x - 1 b. Graph j(x)
c:Find the Domain and Range d. Find j(-3) and j(1) e. Find the inverse and graph f. The inverses are reflected over what line?
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Functions Maths

02/04/18

Help with function question
For all values of x, f(x) = 3x+k, where k is a constant. Given that ff(3) = 7, find the value of k. Cheers for any help :)
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Functions

02/03/18

functions question
Checking Account. To keep a checking account, a local bank charges $10 per month plus 5¢ per check. Write an equation for the monthly charge P in terms of the number of checks n written per month. 
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Functions Derivatives

02/01/18

Derivative using differentiation
Find the derivative of the function f by using the rules of differentiation.f (x) = (5x^3 − 2x^2 + 3) / x
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Functions Derivatives

02/01/18

Derivative of a function
Find the derivative of the function f by using the rules of differentiation.   f(x) = 3x^−8 Question Part Points Submissions... more
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Functions Calculus

01/28/18

Find the formula for cost
The manager of a restaurant found that the cost to produce 200 cups of coffee is $20.13, while the cost to produce 400 cups is $38.93. Assume the cost C(x) is a linear function of x, the number of... more
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Functions Math Calculus Geometry

01/27/18

Volume of open box after cutting squares out of cardboard and folding
By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box can be made. If the cardboard is 16 in. long and 7 in. wide... more
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01/26/18

Find and simplify (f(a + h) − f(a))/h , (h ≠ 0) for the function. f(x) = 6x^2 − 6x + 7
Find and simplify (f(a + h) − f(a))/h , (h ≠ 0) for the function. f(x) = 6x^2 − 6x + 7
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Functions

01/23/18

How do you find the value of a function expression?
For Example:For the function g(x) = x3 + x2 - 6x , find the value of each expression below. a. g(1). This is the problem I have to solve but I don't know how to. I don't even know the function... more
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01/20/18

I've been working on the same problem for an hour and can't figure it out.
. A van rental company rents out 6, 8, 12, and 16 passenger vans. The function C(x)=11+5x represents the cost C(in dollars) of renting an x-passenger van for the day. Which of the following numbers... more
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01/19/18

Algebra 2 Question - Function's Inverse
Which function’s inverse has the greatest value at x=4?g(x)=10^x+2k(x)=ln⁡⁡(x+3)f(x)=log⁡⁡(x−1)h(x)=e^x+2
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Functions Math Algebra 2 Algebra

01/19/18

Find the inverse of the function
What is the inverse of the function f(x)=(sqrt(x−5)/8)−2?f−1(x)=64(x−2)^2−5f−1(x)=8(x+2)^2+5f−1(x)=64(x+2)^2+5f−1(x)=8(x−2)^2+5
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Functions Complex Numbers

01/16/18

Functions of a Complex variable
If tan(Θ+i*Φ)=tanα+i*sec(α)   Show that e2Φ=±cot(α/2) and 2Θ=(n+1/2)*Π+α
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Functions Complex Numbers

01/16/18

Functions of Complex Variable
(a) If cos(Θ+i*Φ)=R(cosα+i*sinα),prove that e2Φ=sin(Θ-α)/sin(Θ+α)   (b) if u=log(tan(Π/4+Θ/2)),prove that Θ=-i*log(tan( (Π/4) + (i*u)/2))
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01/15/18

Functions of a complex variable
if cos(Θ+i*Φ)=cosα+i*sinα Prove that  (i) sin^2(Θ)=±sinα (ii)cos(2Θ)+cosh(2Φ)=2
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Functions Complex Numbers

01/15/18

Functions of Complex variables
Sin(Θ+iΦ)=cosα+i*sinα prove that  cos^4(Θ)=sin^2(α)=sinh^4(Φ)
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Functions Complex Numbers

01/15/18

Complex numbers
ifSin(θ+Φ*i)=ρ(cosα+i*sin(α))Prove that(i)(ρ)^2=1/2*(cosh(2Φ)-cos(2θ))(ii)tan(α)=tanh(Φ)*cot(θ)
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Functions Complex Numbers

01/13/18

Functions of Complex Variable
if  tan(x+i*y)=A+i*B Show that  A/B=sin(2*x)/sinh(2*y)
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01/08/18

Define two functions c(x) = max{x - a,0}, p(x) = max{a-x,0}. Prove that c(x) - p(x) = x - a
Define two functions c(x) = max{x - a,0}, p(x) = max{a-x,0}. Prove that c(x) - p(x) = x - a
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01/08/18

Let X: [0,1] being in all real numbers be given by X(x) = max{x-0.5,0}. Find the inverse images of all intervals [a,b]
Let X: [0,1] being in all real numbers be given by X(x) = max{x-0.5,0}. Find the inverse images of all intervals [a,b] Due to lack of examples related to the theory, I am unable to properly write... more
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01/01/18

What are the zeros of the function?
What are the zeros of the function defined by x2-5x-24?
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