consider the following functions: Which is equal to ((fg)(x)? * f(x) = 3x + 1 g(x) = 1 – 3x h(x) = Vx p(x) = 2x2 + 5x – 3 9x2 – 1 1- 9x2 O Option 1 O Option 2 9x2 + 18x – 1 9x2 + 1 O Option 4 O Option 3 Which of the following figure DOES NOT exhibit bilateral symmetry? * O Brachiolaria O Siberian Husky (Dog) Playing Card (King of Hearts) O Butterfly

Q: 3x-4 -,x < 1 x+2 4. Given the function f (x) = . Calculate f'(1-) and f'(1+). In?x x+1

A:

Q: A function f(x) is given as follows: 2x + 1 f(X)* f(x) = Зх-1 f-(1) =?

A: f(x) =2x+13x-1 Weh have to find f-1(1)

Q: The function h(x)% = can be expressed in the form f(g(x)), where g(x) = (x + 3), and x + 3 f(x) is…

A: Given query is to find the function f(x).

Q: Find a general formula for f (n)(x). f (x) = xe−x

A:

Q: I. Solve the following problems on functions. 1. If g(x)= v36 - x² , find g(0), g( - 3), g(=), g(2y)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Evaluate the given function using homogemeous -yArctan ()| dx + xArctan () dy = 0 [c² (x² + y²)] A.…

A:

Q: | find the Purpose of the function 十1→×>! O fn. 3メ- ,Xく! Xく1 2 f(め 2

A: Function, in mathematics, an expression, rule, or law that defines a relationship between one…

Q: (;) 9 and () ). For the functions f (x) = 4x4 – 19x³ – 10x2 + 35x – 50 and g(x) = x – 5, find E) (x)…

A: Consider the provided functions, fx=4x4-19x3-10x2+35x-50    and    gx=x-5 Find the value of fgx…

Q: 1. Find the domain of the following functions. f(x) = Vx2 – 9 + V16 – x2 a. b. f(x) = x2-25 1,

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Q: What is the change of y with respect to x of the function s(x) = (3x¹ + 9x³)(x² - 6x +9) ? -9x²…

A:

Q: ) Find the values of the constant a so that the function f (x) will be continuous for all x. fax +…

A:

Q: 1. a) If f(x) = x-2x + 1 and g(x) =1, find f( g(-2) %3D

A: givenfx=x3-2x+1  and gx=1x2

Q: (a): Find the value of k that makes function continuous at x = 4 f (x) = 7x S2x + 7 x > 4 k x < 4…

A: We will use the definition of continuity at a point to find the value of k

Q: Find a function f(2) such that f (x) = e + 7x and f(0) = - 1 f(x) =

A:

Q: b. For what value of (k) is the function y=f(x) continuous at x=3. x3-3x2-4x+12 x#3 x-3 f(x) = k x =…

A:

Q: 21. Suppose f(x) = A and g(x) = v2*. Find the x-value for which the two functions are equal.

A:

Q: 1. Find the value of a that makes the following function differen- tiable for all x-values. Jax, if…

A: gx=ax,if x&lt;0x2-3x,if x≥0

Q: 1. Consider the function f(x) = -x² – 4x – 3 a) Determine f(-4), f(a), and f(a+ h).

A:

Q: Which of the following functions when evaluated at g(v2) gives a value of 9/2? g(x) = x° – 2)2 x2…

A: Put value in given function and check

Q: Find the value of k so that the function 5x+3 if x<3 f(x) =. kx2 if x 23 is continuous everywhere?

A:

Q: Please

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Q: Find the value of a for which the function x²–1 x+1 ' x# -1 f(x) = а, x = -1

A:

Q: The function h(x) 1 can be expressed in the form f(g(æ)), wher x + 4 defined as: f(x) =

A: The function h(x)=1x+4 can be expressed in the form f(g(x)), where g(x)=x+4 We have to find f(x) = ?…

Q: Find a general formula for f (n)(x). f (x) = x−1/2

A:

Q: Find f’(e) of the following function. f(x)= x3 *(ln x- 1/3)

A:

Q: The function h(x) ==x-1 represents the composite h(x) = f(g(x)). If f(x) = 2x – 1, what is g(x)?

A: Please refer the attached image for complete solution. Given : hx=43x-1, hx=fgxfx=2x-1To calculate :…

Q: Suppose ƒ is an odd function,Evaluate function

A: Given:∫04 fx dx=3,∫08 fx dx=9∫-84 fx dx=?Odd function:∫-aa fx dx=∫-a0fx dx +∫0afx dx=-∫0afx dx +∫0a…

Q: . If x is large, which function grows faster, f1x2  2xorg1x2  x2?

A: To determine for the large values of x, which of the functions f(x)=2x and  g(x)=x2 grows faster.

Q: 4. Find the functions f(x), g(x),h(x) that satisfy: f(g(h(x))) = 2.

A: A composite function is created when one function is substituted into another function .

Q: [A: 3] 12. Analyze the differentiability of the function ( 2x5 + 6x + 1 , x>1 l2Vx + 8 , f(x) = at x…

A:

Q: Find f'(x) if ef(x) = 1 + x². 2x f'(x) = 1+x2 s'(x) = 2x(e+**) Option 2 Option 3 f'(x) = 2x(1+ x²)…

A: The given function is ef(x)=1+x2

Q: Differentiate the following function.   f(x)=9−2x+e−5x d/dx9−2x+e−5x=nothing   Enter your answer in…

A: fx=9-2x+e-5x

Q: If f(x) = 2+|x-3| for all x, then the value of the derivative f'(x) at x= 3 is (A) -1 (B) 0 (С) 1…

A:

Q: Q1: Find the value of the constant K if the function 4-x ;x#2 f (x) ={3-Vx² +5 is continuous at x=2.…

A:

Q: Find an approximation for the function f(x) = 2/(1 - x) for values of x near zero A) f(x) ≈ 2 - 2x…

A: To find the approximation

Q: f(c) {}} [=+3 = < (3x + 1

A:

Q: Find the domain of the function. g(x) = ln ( 1/x - 5)

A: given,

Q: Which of the following functions passes through the point(0,12) and satisfies.f"(x)= 8? A f(x)= 12x…

A: Given:- f'(x) =8 To find:- Functions passes through the point(0,12) and satisfies f'(x) = 8

Q: The function h is defined by h(x) = x^2 +2. find h(5z)

A: Given h(x)=x2+2

Q: Find the domain of the function Vx- 2 f(x) = х- 2 1 f(x) = х-1 Find f og 2. g(x) = x+3 1.

A:

Q: 1 Use the functions given by fx) 1 and g(x) = x' to find (fº g)¯- %3D X - 125

A:

Q: Consider the following function.   g(x) = 2x2 + (32/x)+8   Find the x-value(s) of the relative…

A: We find the first and second derivative using power rule. Power rule: d/dx(x^n)=n*x^(n-1)

Q: 1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A:

Q: 12. Find any relative extrema for each of the following functions. a) f(x) = x³ – 9x? b) g(x) =…

A:

Q: Find the value for k so that the function will be continuous at x = 2. 4x2 – 12x + 8 6 if x 2

A:

Q: Express the given function h(x) = 3√(x2 - 9) as a composition of two functions f and g so that h(x)…

A: Given function is  h(x)= x2-93.

Q: Find the domain of the function: h(x) = ln(x - 3)2.

A: Given: hx=lnx-32 By using the property of logarithmic function, the given function can be expressed…

Q: (a): Find the value of k that makes function continuous at x = 4 %3D S 2x + 8 x > 4 x < 4 f(x) = 5x…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2. The domain of the function y = 2159 / (k+1 - x^2)^(0.5) where k e R and k > -1, is:

A: The given function is: y=2159k+1-x20.5 ;       where k∈R   and  k&gt;-1

Q: Find the absolute extreme values of the function on the 11) F(x) = 0.5 s x s 2 x2

A: We first find the critical values by solving F'(x)=0 F(x)=-2x2F(x)=-2x-2F'(x)=-2(-2)x-3F'(x)=4x3For…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: