Question

Help!?!?!?!?

5. For the function g(x) = 14/x + 3 , find (g^–1∘ g)(4). (1 point)

6
10
4
0

Answer 1

5. For the function g(x) = 14/x + 3, find (g–1∘ g)(4). (1 point)

6
10
4
0

Answer 2

@jim_thompson5910

Answer 3

g(x) is

\[\Large g(x) = \frac{14}{x}+3\]

OR

\[\Large g(x) = \frac{14}{x+3}\]

??

Answer 4

The second one :)

Answer 5

first find the inverse

\[\Large g(x) = \frac{14}{x+3}\]


\[\Large y = \frac{14}{x+3}\]


\[\Large x = \frac{14}{y+3}\]


\[\Large x(y+3) = 14\]


\[\Large xy+3x = 14\]


\[\Large xy = 14-3x\]


\[\Large y = \frac{14-3x}{x}\]


\[\Large g^{-1}(x) = \frac{14-3x}{x}\]

Answer 6

Now plug x = 4 into g(x). Tell me what you get.

Answer 7

g^-1(4) = 2/4 or 0.5

Answer 8

no g(x) first

Answer 9

\[\Large g(x) = \frac{14}{x+3}\]

\[\Large g(4) = \frac{14}{4+3}\]

\[\Large g(4) = ?\]

Answer 10

2

Answer 11

then plug that result into the inverse

Answer 12

Sorry, is the inverse the original equation?

Answer 13

no, the original is the original

i showed you how to find the inverse above

Answer 14

Right! g^-1(2) = 4

Answer 15

yep

Answer 16

Ok cool!! Thanks for the help!!! :)

Answer 17

yw