Question

if the inversiable function f is defined as y=3x-4 devide by 5, then f inverse x is​

Answer 1

Answer:

$y = \frac{3x-4}{5}$

This is a function of x. To find the inverse function we have to express this as a function of y.

$5y = 3x - 4$

$3x = 5y + 4$

$x = \frac{5y + 4}{3}$

This is now a function of y. The inverse function is obtained by simply substituting backwards, i.e interchanging x for y and vice versa.

So the inverse function:

f⁻¹(x) = $\frac{5x+4}{3}$

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