Question

Find the inverse of the following F(x)=-3/4x+6

Answer 1

Answer:

${f}^{ - 1} (x)= - \frac{4}{3} x + 8$

Step-by-step explanation:

$f(x) = - \frac{3}{4} x + 6$

$y = - \frac{3}{4} x + 6$

$x = - \frac{3}{4} y + 6$

$- \frac{3}{4} y + 6 = x$

$- 3y + 24 = 4x$

$- 3y = 4x - 24$

$\boxed{\green{ {f}^{ - 1} (x)= - \frac{4}{3} x + 8}}$