Question

Let f(x)=sinh^−1(6x).
Then f(x) can be written in the simplified form (Ax+B)/(sqrt(Cx^2+D).
What are the values of A,B,C and D?

Again, please show me how to do this.

Thanks

Answer 1

Surely you do not mean hyperbolic sin as sinh.

Do you? what do you mean by sinh?

Answer 2

Yes, it is the inverse hyperbolic sin.

Answer 3

asinh(u) = ln(x+sqrt(x^2+1))

That will not simplify into a rational function of x.

Better review these problems a bit.