Verify that f and g are inverse functions f(x)=2x, g(x)=

Question

3 years ago

15

mula1" title="\frac{x}{2}" alt="\frac{x}{2}" align="absmiddle" class="latex-formula">

2 answers:

Kitty [74] · Answer 1 · 2022-01-03T03:18:16+03:00

Kitty [74]3 years ago

7 0

y=2x

switch x and y

x=2y

solve for y

x/2 =y

this is the same as g(x)

katrin2010 [14] · Answer 2 · 2022-01-03T05:08:12+03:00

katrin2010 [14]3 years ago

5 0

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