Inverse Functions

Inverse Functions

By Henry Phan

​4 steps to find inverse function

•Step1: Let f(x) = y

•Step 2: Interchange x and y

•Step 3: Solve for y

•Step 4: Change y to f^-1(x)

Subject | Subject

Some text here about the topic of discussion

​Find the inverse of the following function: f(x) = x -3

​4 steps to find inverse function

•Step1: Let f(x) = y

•Step 2: Interchange x and y

•Step 3: Solve for y

•Step 4: Change y to f^-1(x)

Subject | Subject

Some text here about the topic of discussion

​Find the inverse of the following function: f(x) = x -3

Multiple Choice

Determine the inverse for the function:

R (x) = 2x + 1

• R^-1(x) = $$\frac{x-1}{2}$$  

• R^-1(x) = $$\frac{x+1}{2}$$  

• R^-1(x) = $$x-3$$  

• R^-1(x) = $$x\ +3$$  

Multiple Choice

Determine the inverse for the function:

T(x) =   $$6x\ -\ 7$$  

• T^-1(x) = $$\frac{x-7}{6}$$   

• T^-1(x) =   $$\frac{x+7}{6}$$  

• T^-1(x) =   $$7x\ -6$$  

• T^-1(x) =  $$7x\ +6$$  

   

​4 steps to find inverse function

•Step1: Let f(x) = y

•Step 2: Interchange x and y

•Step 3: Solve for y

•Step 4: Change y to f^-1(x)

Subject | Subject

Some text here about the topic of discussion

​Find the inverse of the following function: f(x) = 2x² + 3

​4 steps to find inverse function

•Step1: Let f(x) = y

•Step 2: Interchange x and y

•Step 3: Solve for y

•Step 4: Change y to f^-1(x)

Subject | Subject

Some text here about the topic of discussion

​Find the inverse of the following function: f(x) = 2x² + 3

Multiple Choice

Determine the inverse for the function:

P (x) = 2x² + 1

• P^-1(x) = $$\frac{x^2-1}{2}$$  

• P^-1(x) = $$\frac{x^2+1}{2}$$  

• P^-1(x) = $$\sqrt[]{\frac{x-1}{2}}$$  

• P^-1(x) = $$\sqrt[]{\frac{x+1}{2}}$$  

Multiple Choice

Determine the inverse for the function:

P (x) = 2x³ + 1

• P^-1(x) = $$\frac{x^3-1}{2}$$  

• P^-1(x) = $$\frac{x^3+1}{2}$$  

• P^-1(x) = $$\sqrt[3]{\frac{x-1}{2}}$$  

• P^-1(x) = $$\sqrt[3]{\frac{x+1}{2}}$$  

Multiple Choice

Determine the inverse for the function:

Q(x) = $$\frac{2x\ -7}{4}$$  

• Q^-1(x) = $$\frac{2x-4}{7}$$  

• Q^-1(x) = $$\frac{4x+7}{2}$$  

• Q^-1(x) = $$\frac{7x\ -2}{4}$$  

• Q^-1(x) = $$\frac{2x\ +4}{7}$$  

Multiple Choice

Determine the inverse for the function:

S (x) = $$\frac{2x^2\ -7}{4}$$  

• S^-1(x) = $$\frac{2x-4}{7}$$  

• S^-1(x) = $$\frac{4x+7}{2}$$  

• S^-1(x) = $$\sqrt[]{\frac{4x+7}{2}}$$  

• S^-1(x) = 

  $$\sqrt[]{\frac{2x+7}{4}}$$