1,744 Answered Questions for the topic Functions

Functions

09/22/21

The height of a soccer ball that has been kicked can be modeled by the function
The height of a soccer ball that has been kicked can be modeled by the functionh(𝑡) = −5𝑡2 + 20𝑡 + 1 , where h(t) is the height in metres and t is the time in seconds. Estimate the ... more
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09/20/21

Rational Equations (Please HELP!)
Betty walks 5 kilometers from her house to Divisoria to buy a new bike which shewill then use to return home. She averaged 10 kilometers faster on her bike than on foot. Ifher total trip took 1... more
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09/18/21

Domain of a composition of a function. THANK YOU IN ADVANCE!
Given f(x)= 1/x-4 and g(x)= 1/6-x , find f+g , f-g , fg and f/g. Determine the domain for each function in interval notation.
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09/17/21

Consider the functions f and g defined by f(x)=(x−1)2+2 and g(x)=−x2+7x−4.

The graphs of f and g intersect at two points. Let (x1,y1), and (x2,y2) be these two points.find the distance between the points (x1,y1) and (x2,y2)
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Functions

09/16/21

Given f(x)=3x+15 and g(x)=15x+3, which is bigger: f(1)+g(-1) or g(1)+f(-1)?
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09/10/21

algebra, polynomial functions
how can you argue that f(x) = 3x^4+2x^2+5 has no factor of the form x - c, where c is a real number? and how can we solve this by using algebra?
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09/07/21

mathematics calculus

Calculate ∂f / ∂x and ∂f /∂y if: a) f(x,y) = 3x3y - lny b) f(x,y) = xey / 1+x2y and please explain step by step!... more
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Functions

08/30/21

A function f : x =ax + b is such that f(1)=9 and f(2)=14. Find the value of a and b
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08/29/21

mathematics, precalculus

Find 𝑓x and 𝑓y for the given functions: a) 𝑓(𝑥, 𝑦) = ln√x2+y2 b) 𝑓(𝑥, 𝑦) = exylny c) 𝑓(𝑥, 𝑦) = x ⁄ x2–xy2
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Functions

08/21/21

IF f(x)= 5x^2-3x+2 and g(x)=5x+8, find f(g(x))
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Functions Calculus

08/19/21

slope of a tangent line
The slope of the tangent line to the curve y=3/x at the point (6,12) is:  The equation of this tangent line can be written in the form y=mx+b where m is : b is :
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Functions Calculus Derivative

08/15/21

calcuating time and distance
Shannon is a lifeguard and spots a drowning child 30 meters along the shore and 40 meters from the shore to the child. Shannon runs along the shore for a while and then jumps into the water and... more
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Functions Calculus

08/15/21

f ave of a function
Find the exact average value f ave of f(x)=√(9−x^2) between 0 and 3, then find an exact number c in [0,3] where f(c)=f ave.f ave=c=
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Functions Math Mathematics

08/13/21

Formulate a function rule for the total cost C(x)

Elaine broke stereotyping by becoming an auto mechanic. For home services, she charges a base fee of₱500.00 for each visit and ₱360.00 per hour of her labor. Formulate a function rule for the total... more
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Functions

08/12/21

The height of a triangle is given by h=5x-3, and its base is b=2x+2. a) Write a function for the area A in terms of its height and base.
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Functions Math

08/05/21

ib math aa hl paper 1
The functions f and g are defined such that f(x)=(x+3)/4 and g(x)=8x+5.(a) Show that (g○f)(x)=2x+11 --○ is composite function(b) Given that (g○f)-1(a)=4, find the value of a
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Functions Algebra 1 Algebra

07/29/21

Evaluate (f ∘ g)(x) if f(x) = 2x^2 and g(x) = 3x – 2.
Evaluate (f ∘ g)(x) if f(x) = 2x^2 and g(x) = 3x – 2.a. 6x 2b. 3x 2c. 5x^{2} + 3x d. 6x + 12x 4e. 18x 24x + 8
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Functions Precalculus Velocity

07/29/21

How do you calculate average velocity with time and height with a given data set?

Given Data Set: Time Height 0 00.2 150.4 400.8 751 1201.2 1751.4 1901.6 1881.8 1802 ... more
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Functions Algebra 1 Algebra

07/29/21

If t(d) = 3d + 1 and d(n) = 4n + 2, what is t(d(n)) when n = -2?
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Functions Algebra

07/29/21

If f(x) = 2x + 1 and g(x) = 5(x – 1), what is (g ∘ f)(x) when x = -1?
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Functions Trigonometry

07/28/21

Without graphing, determine the average rate of change for the function f(x)=x^4 on the intervals:
Without graphing, determine the average rate of change for the function f(x)=x^4 on the intervals:• -1≤ x ≤ 1• -2 ≤ x ≤ 2• -10 ≤ x ≤ 10What do you notice about your answers from the above... more
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Functions Math Grade11

07/28/21

Prove the identity of: (sinx - cosx)(sinx + cosx) = 2sin^2 x - 1
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Functions Math Grade11

07/28/21

Prove the identity of: 1+tan^2 x = 1/cos^2 x
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Functions Math Grade11

07/28/21

Prove the identity of: 1-sin^2 x/cosx = cosx
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Functions Math Grade11

07/28/21

A carnival Ferris wheel with a radius of 9m rotates once every 10 s. The bottom of the wheel is 1m above the ground.
a) Sketch the graph showing two complete cycles if the rider starts at the bottom of the wheel.b) Find the equation of the sine function that gives a rider’s height above the ground, in metres, as... more
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