The inverse of a function appears on a graph as the reflection of the function across the line y=x. This is because the inverse relation is effectively the same relation with the variables x and y swapped. Here, the graphs of f(x) and g(x) are mirror images of each other across the line y=x, so we can see they are inverse functions.

The same technology allows us to graph y=f(g(x)) and y=g(f(x)). Both are graphs of y=x, as expected.

7 0

3 years ago

use the table to find each ratio 8 white socks and 6 black socks and 4 blue socks and 5 brown socks ... white socks to brown soc

nevsk [136]

<h3>Answer:</h3>

white : brown = 8 : 5
black : total = 6 : 23

<h3>Explanation:</h3>

Each of the ratio components (white socks, brown socks, black socks, total socks) has an associated number (8, 5, 6, 23). Write the desired ratio using the associated numbers.

8 0

3 years ago

given a polynomial and one of its factors, find the remaining factors of the polynomial. some factors may not be binomials. use

Alenkinab [10]

This is easy to do because you can factor
example
6/2=3 because 6=2*3 so 6/2=3/1 times 2/2 or 3

2x^3+17x^2+23x-42 can be factored out to equal
(x-1)(x+6)(2x+7)

so [(x-1)(x+6)(2x+7)]/(2x+7)=[(x-1)(x+6)] times (2x+7)/(2x+7)=(x-1)(x+6)=x^2+5x-6

the answer is (x-1)(x+6) or x^2+5x-6

3 0

3 years ago

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