Name: Solving Simultaneous Equations by Graphical Method
Uploaded: 2019-07-19
Duration: 8 min 44 s
Description: This video will explain how to solve the given simultaneous equations graphically. Let us watch this video and understand the concept clearly.

Question

Sam says that the inverse function of

x \to 2 (x - 1)

is the same as the inverse of the function

f) x \to 2 x - 2

. Is Sam correct? Explain your answer.

Accepted Answer

Let us first consider the function: $x \to 2 (x - 1)$

A function can be represented by a function machine.

The function machine for $x \to 2 (x - 1)$ is:

$x \to - 1 \overset{x - 1}{\to} \times 2 \to 2 (x - 1)$

The inverse function can be founded by reversing the function machine.

When you are finding the inverse function, you must apply the order of operations(BODMAS) in reverse.

$\frac{x}{2} + 1 \leftarrow + 1 \overset{\frac{x}{2}}{\leftarrow} \div 2 \leftarrow x$

So, the inverse function is $\frac{x}{2} + 1$ .

Now consider the function $f) x \to 2 x - 2$

A function can be represented by a function machine.

The function machine for $x \to 2 x - 2$ is:

$x \to \times 2 \overset{2 x}{\to} - 2 \to 2 x - 2$

The inverse function can be founded by reversing the function machine.

$\frac{x}{2} + 1 \leftarrow \div 2 \overset{x + 2}{\leftarrow} + 2 \leftarrow x$

So, the inverse function is $\frac{x}{2} + 1$ .

Thus, inverse of both functions is same. So, Sam is correct.

Sam says that the inverse function of $x \to 2 (x - 1)$ is the same as the inverse of the function $f) x \to 2 x - 2$ . Is Sam correct? Explain your answer.

Important Questions on Linear Functions and Graphs

Learn and Prepare for any exam you want !

Sam says that the inverse function of x→2(x-1) is the same as the inverse of the function f) x→2x-2. Is Sam correct? Explain your answer.

Important Questions on Linear Functions and Graphs

Learn and Prepare for any exam you want !

Sam says that the inverse function of $x \to 2 (x - 1)$ is the same as the inverse of the function $f) x \to 2 x - 2$ . Is Sam correct? Explain your answer.