If f(x)=4x, g(x)=2x-1, h(x)=x²+1 find each value (h◦(g◦f))(2)?

Answer 1

(h◦(g◦f))(2)?
Work backwards through the functions.
First find f(2)
f(2) = 4(2) = 8
Now find g(8)
g(8) = 2(8) - 1 = 16 - 1 = 15
Now find h(15)
h(15) = 15^2 + 1 = 225 + 1 = 226
Answer: (h◦(g◦f))(2) = 226

Answer 2

(h◦(g◦f))(2) is a composition of functions. Since (f◦g)(x) = f(g(x)), the equation can be rewritten and solved.

(h◦(g◦f))(2) =
h(g◦f(2)) =
h(g(f(2)))

f(2) = 4(2)
f(2) = 8

h(g(8))

g(8) = 2(8) - 1
g(8) = 16 - 1
g(8) = 15

h(15) = (15)^2 + 1
h(15) = 225 + 1
h(15) = 226

Therefore, (h◦(g◦f))(2) = 226.

Answer 3

I think you have your parentheses wrong in that last part where you are putting them together. It makes no sense.

why don't you look at your homework sheet and ask it again but this time copy it over right.

Also if you don't even understand it enough to ask the question right how are you going to pass a test? you need a tutor.

Answer 4

is x the value of 2?...if it is the answer is 120...

Answer 5

do your own homework that's why your teacher gave to you

Answer 6

f(2)=4*2=8 and (g°f)(2)=g[f(2)]
=g(8)=(2*8)-1
=16-1=15
(h°(g°f)(2)=h(15)=15²+1
=225+1
=226
+10 please

Answer 7

I give up, What?