Given the function f(x)= 5(x+4) -6, solve for the inverse function when x=19.

f(x)= 5(x+4) -6

To find inverse we follow the steps given below

step 1: replace f(x) with y

y= 5(x+4) - 6

step 2: replace x with y and y with x

x= 5(y+4) -6

step 3: solve for y

x= 5(y+4) -6

x + 6 = 5(y+4)

x + 6 = 5y +20

x - 14 = 5y

step 4: replace y with f^-1(x)

We got the inverse function

solve for the inverse function when x=19.

we replace 19 for x in f^-1(x)

= 1

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2