Graphs and Functions

Question 1

Inverse Functions

Answer 1

Make equal to y. Change subject to x. Replace x and y. Replace y with f inverse of x.

Question 2

Graph Transformation Rules of -f(x), f(-x), f(x)+a, f(x)-a, f(x+a), f(x-a), af(x)

Answer 2

Reflect x axis, reflect y axis, move left, move right, multiply on y axis.

Question 3

Composite Functions

Answer 3

Sub the f(x) or g(x) into and simplify, if the answer is =x, they are inverses.