x2+ kx – 24 Consider the function G(x) : to answer the following. x²– x – 12 B. Find all values for k which will result in G(x) having a removable discontinuity.

Q: Given the function: y = 4x-1, find f (7) %3D

A: The mathematical symbol f-1(7) represents the value of the inverse of the function at x=7.…

Q: Determine 04 O4h 05 O 5h f(2+h)-f(2) h if f(x) = 5x 6.

A:

Q: I. Given f(x)=-x² + 6x – 11 find each of the following: 1. f(2) 2. f(x-3)

A:

Q: Simplify the function. f(x) =  x2 + 5x − 24/x2 − 9   List any restrictions on the domain. (Enter…

A: f(x)=x2+5x-24x2-9

Q: For what value(s) of k will the function g(x) = x? - kx + 9 have only one zero?

A:

Q: Use the functions f(x) = -3x – 14 and g(x) = 2x2 + 5x – 7 to evaluate the following: a. f(8) = b.…

A:

Q: Find T(10) and T(40). You may use a calculator.

A: We have , T = 95x - 1.5x2 OR      T(x) =

Q: If f(x) = x2 – 6x and g(x) = 6 – x³, evaluate the following. %3D a. (f+ g)(- 2) b. (g - )(- 4) c. (f…

A: The given functions are f(x)=x2-6x  &  g(x)=6-x3

Q: Let f(x) = 2 - 4x + 11x. Calculate the following values: f(a) = %3D f(a + h) =-4 f(a + h) – f(a) for…

A: To find the value of the function at a particular point, the arguements of the function are replaced…

Q: For f(x) = 8x + 4 and g(x) = 5x, find the following composite functions and state the domain of…

A: Find the composition function.

Q: f (x) = x + 2x - 8x2 - 18x - 9, Which graphs shows the function -10 -15 -15

A: Here we have to graph the function        f(x) = x4 + 2x3 - 8x2 - 18x -9 .

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.