Answer:
The answer is
[tex] {f}^{ - 1} (x) = \frac{x +3 }{25} [/tex]
Step-by-step explanation:
[tex]f(x) = 25x - 3[/tex]
To find the inverse of f(x) , equate f(x) to y
That's
y = f(x)
We have
[tex]y = 25x - 3[/tex]
Next interchange the terms that's x becomes y and y becomes x
[tex]x = 25y - 3[/tex]
Next solve for y
Move 3 to the other side of the equation
That's
[tex]25y = x + 3[/tex]
Divide both sides by 25
[tex] \frac{25y}{25} = \frac{x + 3}{25} [/tex]
We have the final answer as
[tex] {f}^{ - 1} (x) = \frac{x +3 }{25} [/tex]
Hope this helps you
