Find the derivative of the function by the limit process. 7 f(x): x - 9

Q: Write the function as a composition of two functions. y = (9x+8)7

A: The given function y=9x+87. We have to write the function as a composition of two functions.

Q: let f(x) =4x+3 and g(x) =5x-2. find the function. f-g

A: Topic:- function

Q: F(x) = f ∘ g ∘ h. Identify functions for f, g, and h.            F(x) = 1/4x6

A: It is given that  where Now, consider the functions as

Q: Find where the function is increasing. 2 y = x² - 3lnx, (x > 0)

A:

Q: Write the function in its final position. f(x)= x³ first moved 2 units downward, then 3 units to the…

A: The objective is to write the function in its final position.

Q: Find and sketch the domain for the function. f(x.y) = / (x² - 16) (y² -9)

A:

Q: determine where f is increasing. f (x) = x4

A:

Q: iii. f(x) 3 5 3 1 4 -2 g(x) -2 31 -7 1 3 gof: (g ºf)(x)

A: In this question, you need to find g∘f(x) for x given in the table: g∘f(x) is a composite function…

Q: Write the function as a composition of two functions. y = (8x + 7) 4 For f(g(x)], g(x)=

A:

Q: function f(x)=(1)/(3)x-5. Identify if on. Give the domain and range.

A: Solution Here f(x)=1/(3)x-5

Q: Differentiate the function. H(x) = (x + x-1)3 H(x)

A: Here we differentiate the given function.

Q: Differentiate the function. g(x) = x 2 (1-2x)

A: Given:gx=x21-2xFormula:ddxxn=nxn-1

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: