题目

A-LEVEL Maths problem
The functions f and g are defined over the set of real numbers by
f:x|->3x-5
g:x|->e^-2x
(a) State the range of g.
(b) Sketch the graph of the inverse functions f^-1 and g^-1 and write on your sketch the coordinates of any points at which a graph meets the coordinates axes.
(c) State,giving a reason,the number of roots of the equation
f^-1(x)=g^-1(x)
(d) Evaluate fg(-1/3),giving your answer to 2 decimal places.

提问时间：2021-04-15

答案

可以给你翻译一下,题是很简单的
f,g 都是定义在实数范围内的函数,f(x)=3x-5,g(x)=e^-2x,
1.求g的值域
2.求f,g的反函数,并画出图象,标出函数曲线与坐标轴交点的坐标.
3.讨论f逆=g逆的方程的根的数目.
4.求f(g(-1/3))的值,结果保留到小数点后两位.