1,744 Answered Questions for the topic Functions

Functions

12/10/17

A quadratic function f can be written in the form f(x) = a(x - p)(x - 3).

3. A quadratic function f can be written in the form f(x) = a(x - p)(x - 3). The graph of f has axis of symmetry x=2.5 and y-intercept at (0,-6) a. Find the value of p. For this I got p=2b. Find... more
Functions Function

12/09/17

Let f(x)=5x and g(x)=x^2+1, when the domain of x is all real numbers.

1. Let f(x)=5x and g(x)=x^2+1, when the domain of x is all real numbers. a. Find f^-1(x).b. Find (f ° g)(7).
Functions Algebra Equations

12/07/17

Solve the equation g(t)=1 given that g(t)=6^t.

Solve the equation   g(t)=1 given that   g(t)=6t.   t=?
Functions

12/07/17

Let f(x)=x^2 -1 and g(x)= x^2 - 2, for x has the domain of all real numbers

7. 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. b. How could I sketch the graph of (f ° g)(x), for 0 is < or equal to x... more
Functions Economics Value

12/04/17

Task: Show that the function x^2-2xy+5y^2-10x+2y is convex. Find its global minimum value.

This is a task for economics calculus, and I cannot do it.
Functions

12/04/17

Linear Function

The graph and the table each represent a different linear function. When x =6, which of the twofunctions has the greater y-value? The coordinates on the x axis are (3,0)The coordinates on the y... more

12/01/17

find the inverse the function

find the inverse of the function y=6x2 which has an inverse of y-1

12/01/17

find the inverse of the function

find the inverse of the function y=8x2 which has an inverse of y-1
Functions

12/01/17

Describe the transformation when being compared to f(x)= |x|, and a >1. g(x)= |x-a| *

Basically what the question asks. 

12/01/17

if h(x) = f(g(x)) where h(x) = sinx and f(x) = cosx which of the following could define the function g

options given g(x) = √(x2-1) g(x) = √(1-x2) g(x) = (π/2) +x g(x) = (π/2) - x g(x) = tanx I tried doing it but cos^-1(sinx) isn't possible to do with what i know
Functions Math

12/01/17

From her position, what is the angle of elevation, to the nearest tenth of a degree, to the top of the left exterior wall?

While standing at the left corner of the schoolyard in front of her school, Suzie estimates that the face is 8.9 wide and 4.7 high. From her position, Suzie is 12m from the base of the right... more

Why is this required for finding zeros in Polynomials

I believe this question is very simple, I just would like to know why in this specific example (2x3+2x2-19x+20=0) once I am done plugging in the trinomial into the quadratic formula and get 6 +- 2i... more
Functions

11/27/17

Solve the following equations, giving exact values if possible.

2. Solve the following equations, giving exact values if possible.a. 9^x-1 = (1/3)^2xb. ln(x+2)=3c. log27(x)=1-log27(x-0.4)d. logb6=1/2

11/27/17

construct a function for the following word problem

A worker gets 18 dollars per hour for a normal work week of 40 hours and time-and-a-half for overtime. Assuming he works at least 40 hours a week, construct a function describing his weekly... more
Functions

11/27/17

Question about graphing a function

Graph the function using a graphing calculator and then sketch each graph. On your sketch draw a series of secant lines thatyou could use to estimate the slope of the tangent when x=2. Calculate... more
Functions

11/26/17

How wide should the tulip border of Gage Park be, to one decimal place?

For Gage Park, a landscaper wishes to plant a boundary of tulips within a rectangular garden with the dimensions of 18m by 12m. To obtain a pleasing look, the area of the tulip border should be... more
Functions

11/24/17

Which of the following are correctly defined functions?

a) f : R → R, f(x) = 1/x^4+4  b)f : R → R, f(x) = 1/x^4−4 c)f : R → R, f(x) = √sin^2 x d)f : R → R, f(x) = √sin x e)f : R → R, f(x) = 2017

11/21/17

Trig functions (indentities) question

Solve:     2sin2x=cotx    , -π ≤ x ≤ 2π

11/21/17

f(x) = x + 4,g(x) = x - 3, for which value of x is (f/g)(x) undefined?

f(x) = x + 4 g(x) = x - 3   for which value of x is (f⁄g)(x) undefined?

11/20/17

Functions Math Help

Suppose h(x)=f(g(x)), h(x)=(2x+1)^3, and f(x)=x^3. What is g(x)? 

11/19/17

Is this function homogeneous

F(K,L)= (lnK-LnL)(K+L)^a
Functions Inequalities Graphs

11/14/17

TELEPHONE A cell phone company charges $40 per month plus $2 for each minute of time used out of the service area.

A cell phone company charges $40 per month plus $2 for each minute of time used out of the service area. Write the equation that describes the amount y that a cell phone user would pay if they used... more
Functions

11/13/17

What is the area of your rectangular garden if the width is four times the size of the length?

Solve this problem and write a function rule.

11/09/17

How do you distribute the negative sign?

Example:p(t_ = 2t - 1 and q(t) = -t2 - 4t - 1. Find (q - p)(t)  (q - p)(t) = q(t) - p(t)   q(t) - p(t) "define" (-t2 - 4t - 1) - (2t - 1)   "substitute" =(-t2 - 4t - 1 - 2t + 1    "distribute... more

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