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Sagot :
Answer:
[tex] \frac{x - 2}{7} [/tex]
Step-by-step explanation:
[tex]f(x) = 7x + 2[/tex]
[tex]let \: \: f(x) = y[/tex]
[tex]7x + 2 = y[/tex]
[tex]7x = y - 2[/tex]
[tex]x = \frac{y - 2}{7} [/tex]
[tex] {f}^{ - 1} (x) = \frac{x - 2}{7} [/tex]
Answer ↓
[tex]\large\text{view\:explanation\:for\:more\:details}[/tex]
Calculations ↓
Remember , inverse functions do the opposite things in the opposite order.
Here's what happened to x here :
- First , it's been multiplied by 7 .
- Then , 2 has been added to it .
We can easily find the inverse of any function by following these steps :
- Set the function equal to y as follows :
f(x)=7x+2
y=7x+2
2. Now , switch y and x places :
x=7y+2
3. Solve for y .
First , subtract 2 on both sides :
x-2=7y
Divide by 7 on both sides :
[tex]\text{y=$\displaystyle\frac{x-2}{7}$}}[/tex]
We've found the inverse function of f(x)=7x+2.
[tex]\tiny\text{hope\:helpful}[/tex]
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