I did try. But i don't have the answers. And am weak in quadratics. For the first question i don't know how to sketch. For the second one, i don't understand part (ii)
I did try. But i don't have the answers. And am weak in quadratics. For the first question i don't know how to sketch. For the second one, i don't understand part (ii)
If you want us to check your answers, then put your answer up and we'll check it. You don't need to sketch for the first part, you're just meant to interpret geometrically the solutions to those two curves. hint: think about intersections.
The domain of f^(-1)(x) is the range of f(x). f(x) is a quadratic and has a minimum point, see if you can work out the range of that.
I did try. But i don't have the answers. And am weak in quadratics. For the first question i don't know how to sketch. For the second one, i don't understand part (ii)
To sketch, factorise the quadratic to find the roots then just plot the axis intersections and draw the curve from them. I'm sure you don't have a problem drawing a y=mx+c line.
for 2ii) it'd be a good start to find the range of f(x). You should know the relationship between f(x) and f−1(x) geometrically -which will help you find the domain of the inverse function.
If you want us to check your answers, then put your answer up and we'll check it. You don't need to sketch for the first part, you're just meant to interpret geometrically the solutions to those two curves. hint: think about intersections.
The domain of f^(-1)(x) is the range of f(x). f(x) is a quadratic and has a minimum point, see if you can work out the range of that.