Problem

The function $h$ is defined as $h(x)=\frac{6}{5 x^{2}-3}$. Find $h(x-1)$ Write your answer without parentheses, and simplify it as much as possible. \[ h(x-1)=\frac{6}{5 x^{2}+22} \]

Solution

Step 1 :The function $h$ is defined as $h(x)=\frac{6}{5 x^{2}-3}$.

Step 2 :We are asked to find $h(x-1)$, which means we need to substitute $x-1$ into the function $h(x)$.

Step 3 :Substituting $x-1$ into the function gives $h(x-1)=\frac{6}{5 (x-1)^{2}-3}$.

Step 4 :Thus, the simplified expression for $h(x-1)$ is $h(x-1)=\frac{6}{5(x-1)^{2}-3}$.

Step 5 :\(\boxed{h(x-1)=\frac{6}{5(x-1)^{2}-3}}\)

From Solvely APP
Source: https://solvelyapp.com/problems/gjV7jr6b4c/

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