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: Find the domain of the following function 1 f (x) = 2 + f (x) Vx

A: Given function,                            f(x)=12+x

Q: For which a is each of the following functions defined 2x – 3 (a) f(x) = (b) 1 g(x) = 3x + 2 4.x + 5

A:

Q: For the line that has the equation X1 + 2X2 = 10, will pass through: %3D O (5,4) (10,1) O (2,4) O…

A: Given that  The equation of a line is x1+2x2=10 To find a point that will pass through the given…

Q: Is the function f(x) = 1 the same as the function g(x) = xx

A: Given: Is the function f(x) = 1 the same as the function g(x) = xx

Q: Given the function ( 7x – 4 r 0 |

A:

Q: f(x) = x³ (-4x + 2) g(x) = -4x+2

A: f(x)=x3(−4x+2)g(x)=−4x+2

Q: It's urgent solve in 15 min. : Consider the following production function where Y denotes output…

A:

Q: f(x) = 1– 2x +xs

A: Given, function f(x)=1-2x+1/3x^5 By using the formula of differentiation d/dx(x^n)=nx^(n-1)

Q: Given the one-to-one function defined by f(x) = Vx – 4 + 1- write an equation for f -1(x).

A: The given one-to-one function is To find the inverse of f(x), replace f(x) by y. Now interchange…

Q: Activity #2: Differentiate the following functions. 1. f(x)= -3x² - 4x + 12

A: This question is taken from Derivative in which we have to find the derivative of the given…

Q: Consider the following two functions: In(x + 3) and x 0.4 Which function dominates as 0.4 0.4 00?…

A: Given that: Two funcitons: ln(x+3) and x0.4

Q: Differentiate the following function. f(x) = |x+ x+ -le 6x d 5 X+ 6x dx

A:

Q: Given functions f and g, find fg. f(x) = 7x+2, g(x) = 4x + 5

A: we are given two functions and we need to find out the product of the functions.

Q: fx) 1 A. f(x) = 2x2 + 8x + 1 B. f(x) =-2x²-7x + 1 .4 %3D -3 -5 C.f(x) = 3x² + 9x-11 D. f(x) =-6x² +…

A:

Q: consider the following functions: Which is equal to (f g)(x)? * h(x) = Vx p(x) = 2x² + 5x – 3 f (x)…

A: .

Q: If f(x) = x' + 2x (a) fog I and g(x) 2x 3, find each of the following functions (b) g f (c) g g-9

A:

Q: 4x + 5 + 5x² – 3 x>5 g(x) =' h(x) =Vĩ - 7x x=5 9x? f(x) = 3x² – 5x +7 4х — 9 x<5

A:

Q: (a) f(x) = 3 - 2x + 4x? 2t + 1 (b) f(t) = %3D t+3 (c) f(x) = /3x + 1 %3D

A:

Q: What happens to the value g(x) if x is tripled

A: The value of the function when the x value is changed, totally depends upon the type of function.

Q: Show that f(x) = (x16)2 has no inverse on the interval

A: Solution of the problem as follows

Q: Evaluate the indicated function for f(x) = x2 + 1 and g(x) (f + g)(t - 5) = x - 3. %3D (f + g)(t –…

A: First find the addition of the function (f + g) (x):

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: