Suppose H (x)= (7x+2)². Find two functions f and g such that (f og)(x)=H (x). Neither function can be the identity function. (There may be more than one correct answer.) s(-) = 0 %3D s(-) = 0 %3D

Q: Let f(x) = V9x – 10 . Determine f-(x). f-(x)%3D

A:

Q: If f(x)=−x and g(x)=−x, then f and g have identical graphs.

A: The objective of this question is to determine whether the graphs of the functions f(x) = -x and…

Q: If a function h satisfies h(-x) = h(x) for every number x in its domain, then h is called an even…

A:

Q: Find the domain of v. v (x) = x + ln(7x - 4)

A: Find the domain of v. v (x) = x + ln(7x - 4)

Q: (a) Define what it means by for y = f(x). %3D

A: In this question we have to define the meaning of dydx for y=fx

Q: If f(x) = x2, g() = x+1, and h(x) = / Va – 1, then evaluate (fohog)(x). %3D

A: Plug g(x)=x+1 inside h(x) and simplify

Q: If E[X] = 5 and Var(X) = 4, then E[(4 + 5X)²] = [] and Var(3+5X) 0

A: Given that :E(X)= 5 and Var( X )=4 .For a random variable X…

Q: Let h(x)=f(g(x)). If g(3)=−4, g′(3)=5, f(−4)=−6, and f′(−4)=4, find h′(3). Do not include "h′(3)="…

A: We have to find derivative of h(x) at x=3 .Information is given below:

Q: 5. Find the inverse of f(x) = Vx+2.

A: f(x)=x+23To find: The inverse

Q: If f(x)=−x and g(x)=−x, then f and g have identical graphs.

A: The objective of the question is to determine whether the graphs of the functions f(x) = -x and g(x)…

Q: 1/2 Write the function as a composition of two functions.

A:

Q: If g(x)=2x−3, and h(x)=1−4x, find the following new functions,as well as any values indicated. A)…

A:

Q: g (x) = V2x-1- 1. Which function is the inverse of of (x) = 2(x+ 1)° + 1 of (x) = 2 (z+1)3 +1 ° f…

A:

Q: If f(x)=−x and g(x)=−x, then f and g have identical graphs.

A: The objective of this question is to determine whether the graphs of the functions f(x) = -x and…

Q: Let f (x) = x - 1 and g (x) = x² (x + 1). Evaluate Se 3 + dx f(x) g(x) You must show all steps.

A: Integration of e-3x+f(x)/g(x)Where f(x)=x-1,  g(x)=x2(x+1)

Minimization

In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in terms of global or local range. The definition of minimization in the thesaurus is the process of reducing something to a small amount, value, or position. Minimization (noun) is an instance of belittling or disparagement.

Maxima and Minima

The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.

Derivatives

A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which one would be easier? Walking on the road would be much easier than climbing a mountain.  

Concavity

In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the first derivative test and second derivative test to understand the concave behavior of the function.