Question

Find f g h
f(x)=x+1 g(x)=2x h(x)=x-1

Answer 1

are you trying to find \[f(g(h(x)))\]?

Answer 2

try you

Answer 3

start with g(h(x)) you know that g(x) =2x so replace every x in the g function with h(x)=x-1

Answer 4

f(g(x-1)))

Answer 5

then

Answer 6

f(x)= x+1
fg(x)= (2x)+1
fgh(x)=2(x-1)+1

Answer 7

i thing is 2x-1

Answer 8

for f(g(x-1)) you need to plug (x-1) in for x in the g(x) function. g(x)=2x whereas g(x-2)= 2(x-2)=2x-4
Now if you do f(g(x-2)) that is equal to f(2x-4) we know that f(x)=x+1 therefore f(2x-4)=(2x-4) + 1 = 2x -3

Follow the same steps with your problem

Answer 9

you are right
2(x-1)+1
2x-2+1
2x-1