447 Answered Questions for the topic Precalculus Homework

Doctors use radioactive iodine as a tracer in diagnosing certain thyroid gland disorders. This type of iodine decays in such a way that the mass remaining after

m(t) = 6e−0.087t where m(t) is measured in grams.   a) Find the initial mass (mass at time t = 0).   b) How much of the mass remains after 20 days?  

Find the intercepts and asymptotes

a) r(x) = x − 2 / x2 − 4x     b) s(x) = x2 − 2x + 1 / x3 − 3x2

Word Problem

Beth has 230ft of fencing available to make a rectangle enclosed in an open field. The enclosure needs to have an area of 3000ft^2. If she has to use all 230ft of fencing, what dimensions should... more

Can someone explain and help me solve this?

2x^(1/2)-9x^(1/4)+4

Word Problem Help!

A fourth-grade class decides to enclose a rectangular garden, using the side of the school as one side of the rectangle. What is the max area that the class can enclose using 32 ft of fence? What... more

Pre-Calc Help!

The spreag from of oil leaking from a tanker is in the shape of a circle. If the radius r (in feet) of the spread after t hours is r(t) = 200sqt(t), find the area A of the oil slick as a function... more

Find a function that models the length L of her shadow in terms of her distance d from the base of the lamp.

A woman 5 ft tall is standing near a street lamp that is 14 ft tall

Two polynomials P and D are given.

Use either synthetic or long division to divide P(x) by  D(x), and express the quotient  P(x)/D(x) in the form P(x)D(x)= Q(x) + R(x)/D(x).   P(x) = 2x3 + 4x2 − 2x − 1, D(x) = x + 3   P(x)/D(x)=

simplify 2√3(2*²√2)

2√3(2*²√2)

simplify ((2x^-2)/(5y^3))^-1

simplify ((2x-2)/(5y3))-1

Simplify (-3x^2*y^3)*(4*x*y^2)

Simplify (-3x^2*y^3)*(4*x*y^2)

For the quadratic f(x) = 1 − 6x − x^2

(a) Express f(x) in standard form   (c)find its maximum or minimum value.

Use the Inverse Function Theorem to show that f and g are inverses of each other

f(x) = x3 + 1     g(x) = ^3√x − 1

Find the inverse function

                    3x    f(x)=     ______                                     x-2

Show each step needed to transform y=(x^2-4) to y=-x^2 and label each step with the equation.

Show each step needed to transform y=(x^2-4) to y=-x^2 and label each step with the equation.

Supposed that f(x)= x^2+2x-8

a) What are the coordinates of the vertex?   b) Find the x-intercepts using algebra.  

For the following function....

f(x)= -x+1    if -1<= (read this as less than or equal to) x<1   f(x)= 2         if x=1   f(x)= x^2.    if x>1     a) find f(0)   b) find f(1)   c) find f(2)   d) determine... more

FOR f(x)=2x+1 AND g(x)=3x-2 FIND:

a) (f+g)(3)     b) (f/g)(x)

Find the Domain for each function

a) g(x)= x/(x^2-1)   b) h(x)= (3x-12)^1/2

For the function f(x)= (x+2)/(x-6)

a) Is the point (3,14) on the graph?   b) If x=4, what is f(x)?

Find the equation of a line perpendicular to the line 2x+y-2=0 and passing thru the point (-3,0) USE the slope intercept form of the equation (y=mx+b)

Find the equation of a line perpendicular to the line 2x+y-2=0 and passing thru the point (-3,0) USE the slope intercept form of the equation (y=mx+b)

find the roots of the polynomial equation 5x^2-6x+9=0, and cube roots of 5x^3-6x+9=0

I tried solving this using quadratic equation but I am unsure if I am following the right path. Thank you 

Find f ◦ g ◦ h when:

f(x) = 1/x   g(x) = x2     h(x) = x3 + 2

The function f(x)=2x+2 is one-to-one. Find an equation for f^-1(x), the inverse function

Type an expression for the inverse. Use integers or fractions for any numbers in the expression 
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