If f(x)=15x+3, then f-1(x)=
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given:
f(x) = 15x + 3
Determine f^-1(x).
Solution:
f^-1(x) can be read as the inverse function or the opposite of f(x). This can be solved by interchanging the values of x and y. To do this, we first set f(x) into y.
f(x) = 15x + 3
y = 15x + 3
Change the value of x into y.
x = 15y + 3
Now we will solve for y, start first by transposing 3 on the other side of the equation, note that when transposing a number, the sign changes.
15y = x -3
Divide both sides by 15 in order to know the value of y.
y =(x - 3)/15
f^-1(x) = (x - 3)/15
Final answer:
f^-1(x) = (x - 3)/15