Can someone please help me with problem number 18 in this function inverses assignment? This is algebra 2 by the way. Please show your work.

Directions: Find the inverse of the function. Then graph the function and it's inverse.

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Can someone please help me with problem number 18 in this function inverses assignment This is algebra 2 by the way Please show your work Directions Find the in class=

Respuesta :

Answer:

g^-1(n) = -n-3

Step-by-step explanation:

g(n) = -n-3

To find the inverse of a function, just swap the g(n) and n placement. Instead of using g(n) or f(x), it is better to use y.

so here

y = -n-3

swap

n = -y-3

then solve for y

n+3 = -y

-n-3 = y

It may look weird that the inverse is the same as the initial so let me use an example for another linear equation, 2x+1 = y

y = 2x+1

x = 2y + 1

x-1 = 2y

x/2 - 1/2 = y or (x-1)/2 = y

So it really depends on the function

Hope that helps