Let f(x) = 5x + 12. Find f-1(x).

Sagot :

[tex]f(x)=5x+12\\\\ f^{-1}(x):\\ y=5x+12\ \ \ |Subtract\ 12\\ y-12=5x\ \ \ |Divide\ by\ 5\\ \frac{y-12}{5}=x\\\\ f{-1}(x)=\frac{x-12}{5}[/tex]

Answer:

f^-1(x) = x/5 - 12/5

Step-by-step explanation:

f(x) = 5x + 12

y = 5x + 12

x = 5y + 12

5y = x - 12

y = x/5 - 12/5

f^-1(x) = x/5 - 12/5