If f (x) + = x-1, g (x) = x^2 - 1, an h (x) = x^2+1 find h (f (x))

Question

Tate Ponce

Mathematics

4 February, 18:00

If f (x) + = x-1, g (x) = x^2 - 1, an h (x) = x^2+1 find h (f (x))

+5

Answers (2)

Know the Answer?

Chaim Alvarez · Answer 1

Well you dont have to worry about the g (x) equation.

first find f (x)

f (x) = x - 1

now find h (x - 1)

h (x) = (x - 1) ²+1

h (x) = (x - 1) (x - 1) + 1

h (x) = x² - 2x + 1 + 1

h (x) = x² - 2x + 2

Alyson Burke · Answer 2

So just put them inside each other

f (x) = x-1

h (x) = x^2+1

find

h (f (x))

this means subsitute f (x) for the x in h (x)

so

g (f (x)) = (x-1) ^2+1