If f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x))

The graph is attached; it is the graph of f(x) = x.

Step-by-step explanation:

Two functions are inverses if their composites form the function f(x) = x.

Take, for example, the function f(x) = 2x-4.  We can write this as y=2x-4.

To find the inverse, we isolate x.  To do this, first add 4 to each side:

y+4 = 2x-4+4

y+4 = 2x

Divide both sides by 2:

(y+4)/2 = 2x/2

y/2 + 4/2 = x

1/2y + 2 = x

Swap x and y, and the inverse is

y=1/2x+2

This can be written as g(x).

The composite of these two functions, f(g(x)), is:

f(1/2x+2) = 2(1/2x+2)-4

= 2(1/2x)+2(2)-4

=1x+4-4

= x

The composite of two functions is always f(x) = x.

This means the graph will have a slope of 1 and a y-intercept of 0.

answer:

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

explanation:

service only with 20% tip  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the  

service

−−−−−−  

so technically the answer is  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

however, the intention of the question provider may have been that your answer is to be  

$

87.12

(

1

+

8

100

)

=

$

94.09

to 2 decimal places.

'

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge  

.

→

$

72.60

20% tip  

20

100

×

$

72.60

=

$

14.52

−−−−−−  

←

add

$

87.12

tax  

8

100

×

$

87.12

=

$

6.97

−−−−−  

←

add

$

94.09

related questions

square pyramid

step-by-step explanation:

square prism looks like nothing like that

triangular prism has a rectangular base instead of a square base

tetrahedron has a triangular base