1,752 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 functionThe height of a soccer ball that has been kicked can be modeled by the functionh(𝑡) = −5𝑡2 + 20𝑡 + 1 , where h(t) is... more
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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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