Let f(x) = V+ 8- 9 and g(a) = V + 8 – 9. Solve f(a) = g(x). %3D

Q: Let f(x) = 4x + 1 f¹(x)

A: Given query is to find the inverse of the function.

Q: What type of discontinuity does the function f(x)=xsecx have?

A:

Q: Let f(x) = 9x + 12 ƒ-¹(x) =

A: Solution:

Q: If 10x³y* + e*Y = 5 defines y implicitly as a function of x, find y.

A: Using derivatives of implicit function.

Q: 2) Given the following differential equations with output x and input y, linearize the equations…

A: 2)(a) First we have to write the given equation,To linearize the equation we need to perform a…

Q: Let f(x) be the function f(x) 1. Find the following: x + 1 f(11) = f( – 10) | (4) 2 (-) f |

A: Given function is fx=xx+1-1. Put x=11 in the function. f11=1111+1-1=1112-1=-112 Therefore, f11=-112.

Q: The domain of f(x) = Vx is

A:

Q: Let f(x) = 9x +3 f f '(x) =

A: Given a function. We need to find its inverse.

Q: Let f(x) = V3x +4.

A:

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.