Given:
The function is
![f(x)=4x-8](https://img.qammunity.org/2021/formulas/mathematics/high-school/vfcmqcdbdxahj29t3k8zebjlalpzewrzrr.png)
To find:
The input of the function when the output is 20.
Solution:
We have,
![f(x)=4x-8](https://img.qammunity.org/2021/formulas/mathematics/high-school/vfcmqcdbdxahj29t3k8zebjlalpzewrzrr.png)
Here, x is input and f(x) is output.
Put f(x)=20 in the given function to find the input of the function when the output is 20.
![20=4x-8](https://img.qammunity.org/2021/formulas/mathematics/high-school/f44vz6cmm9a3ywgg6saqouu4k13boz7kru.png)
![20+8=4x](https://img.qammunity.org/2021/formulas/mathematics/high-school/r4tw69vi0bypes8fzia0vqkv9ol5hgw1ms.png)
![28=4x](https://img.qammunity.org/2021/formulas/mathematics/high-school/22sslyu6yl13z8hcr711o52kjegre8oxyo.png)
Divide both sides by 4.
![(28)/(4)=x](https://img.qammunity.org/2021/formulas/mathematics/high-school/d5t1fvasqqkg5h2ba9bu0ihwwe77fdzvyt.png)
![7=x](https://img.qammunity.org/2021/formulas/mathematics/high-school/7763mapjixesuj30h6yvtsriaczmpfuqu0.png)
Therefore, the required input value is 7.