Question

Verify that f and g are inverse functions f(x)=2x, g(x)=mula1" title="\frac{x}{2}" alt="\frac{x}{2}" align="absmiddle" class="latex-formula">

Answer 1

y=2x

switch x and y

x=2y

solve for y

x/2 =y

this is the same as g(x)

Answer 2

Answer:

see explanation

Step-by-step explanation:

If f(x) and g(x) are inverses then

f(g(x)) = g(f(x)) = x

f(g(x)) = f($\frac{x}{2}$) = 2 × $\frac{x}{2}$ = x

g(f(x)) = g(2x) = $\frac{2x}{2}$ = x

Hence

f(x) and g(x) are inverse functions