1,744 Answered Questions for the topic Functions

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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Functions

12/29/17

f(x) = ax + b , f(ax + b) ) x +1 - what's a & b ?
Let f(x) = ax + b Pick numbers for a and b so that f(ax + b) = x + 1    
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12/21/17

Graph the Function C(f)= 251e^-0.1t-129e^-2.7t
The function C(f)= 251e^-0.1t-129e^-2.7t measures the concentration of a drug in a patient's bloodstream after t hours. The drug is effective only if the concentration is above 180 mg/mL. Graph the... more
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Functions

12/17/17

i need to find 5 numbers for a function
y=-3x+3 2 positive and 2 negative numbers for x and 1 fraction
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12/12/17

given the function find and simplify
given the function P(x)=45+3x-2x2 find and simplify 3P(a+6)-17. Discuss how each value shifts/scales the function
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12/12/17

Inverse of functions
Let F(x)=eX+3Find the inverse of the function
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12/12/17

What is the x-intercept for the function
What is the x-intercept for the function -12x - y + 7z = 96? Type your answer as a point, (x,y,z),   Please help I keep getting fractions for the points! Thank you in advance.
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Functions

12/11/17

f(x)=x^2 -1 and g(x)= x^2 - 2
Let f(x)=x^2 -1 and g(x)= x^2 - 2, for x has the domain of all real numbers  a. Show that (f ° g)(x)=x^4 - 4x^2 + 3. Do we plug g(x) into f(x) ? how do we show that?? b. How could I sketch the... more
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