consider the following functions: Which is equal to (f g)(x)? * h(x) = Vx p(x) = 2x² + 5x – 3 f (x) = 3x + 1 g(x) = 1 – 3x 9x? – 1 1 – 9x? Option 1 Option 2 9x2 + 18х — 1 9x² + 1 Option 4 Option 3

Q: The functions f and g are defined as f(x) = 2x – 1 and g(x) = x² +1. Which of the following…

A: h(x) = g(f(x)) is called composite function of f(x) and g(x).  Here the value of of function f(x) is…

Q: g(x) = x³ + x? - 8x- 12 f(x) = x² + 4x +3 %3D h(x) = x² + 3 %3D s(x) = x² - 3x

A:

Q: 3. Let f(x) = 2x2 – 4x +1 and g(x) = x - 3. Find each function. (a) (f – 9)(x) (b) (fg)(x) (c) (g+…

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

Q: -mperature of a northern city from 6 a.m. to 6 p.r 2.3 (in degrees Celsius) and x is the number of…

A: We have to choose the correct option from the given options according to the given information

Q: Determine h(x2) for the following function. 4x h(x) = %3D x2 + 9x + 20

A:

Q: For f(x)=x+1 and g(x)= 2x +5, find the following functions. a. (fog)(x), b. (g of)(x), c. (fog)(-2),…

A:

Q: Which of the following is equivalent to f(x + h) – f(x) h for the function f(x) = 4-3x2? -6x 3h | 6x…

A:

Q: Evaluate the following: 1. f(-8)= 2. f(-1)= 3. f(3) = f(x) = x² + 2x x + 8 if x -1.

A: Given: f(x)=x2+2x  if x≤-1x+8      if x>-1

Q: (b) f(x) = ¿r²/16 – 2²

A: We have to find derivative

Q: Consider the following. 4x A(x) x2 - 3x - 4 (a) State the domain of the function. O all real numbers…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: For f(x) = 5x – 1 and g(x) = 5x2 - 1, find the following functions. %3D a. (fo g)(x); b. (g o f)(x);…

A: Given f(x)=5x-1 and g(x)=5x2-1fog(x)=In place of x of f(x) substitute g(x)fog(x)=f(g(x))=5(5x2-1)-1…

Q: Consider the following functions. f(x) = × 1 − ; g(x) = x² + 7 Complete the following statement,…

A: Step 1: Identify what for composition functions(f ◌ g) (x) = f ( g(x) )This is read as f composition…

Q: Find the X-values of all points of inflection for the function f(x) = – x* + 6x³. O A. X = - 3 only…

A:

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: