Question

Find the inverse of the function: f(x)=−14x+4

A f−1(x)=−4x+16
B f−1(x)=−12x+2
C f−1(x)=4x+16
D f−1(x)=12x+1

Answer 1

`\displaystyle f^(-1)(x) = -(x)/(14) + (2)/(7)`

Explanation:

It is neither of these. To find the inverce, interchange the variables, then solve for y:

`\displaystyle x = -14y + 4 \hookrightarrow (x - 4)/(-14) = (-14y)/(-14) \\ \\ f^(-1)(x) = -(x)/(14) + (2)/(7)`

I am joyous to assist you at any time.