Advertisements
Advertisements
Question
If f(x) = x2 – 1. Find fofof
Solution
fofof = fof(f(x))
= fof (x4 – 2x2)
= f(f(x4 – 2x2))
= (x4 – 2x2)2 – 1
= x8 – 4x6 + 4x4 – 1
APPEARS IN
RELATED QUESTIONS
Using the function f and g given below, find fog and gof. Check whether fog = gof
f(x) = `(x + 6)/3`, g(x) = 3 – x
Using the function f and g given below, find fog and gof. Check whether fog = gof
f(x) = 3 + x, g(x) = x – 4
Using the function f and g given below, find fog and gof. Check whether fog = gof
f(x) = 4x2 – 1, g(x) = 1 + x
Find the value of k, such that fog = gof
f(x) = 3x + 2, g(x) = 6x – k
If f(x) = x2 – 1. Find fof
Consider the function f(x), g(x), h(x) as given below. Show that (fog)oh = fo(goh)
f(x) = x – 1, g(x) = 3x + 1 and h(x) = x2
Consider the function f(x), g(x), h(x) as given below. Show that (fog)oh = fo(goh)
f(x) = x2, g(x) = 2x and h(x) = x + 4
Consider the function f(x), g(x), h(x) as given below. Show that (fog)oh = fo(goh)
f(x) = x – 4, g(x) = x2 and h(x) = 3x – 5
Multiple choice question :
If g = {(1, 1), (2, 3), (3, 5), (4, 7)} is a function given by g(x) = αx + β then the value of α and β are
If f(x)= x2, g(x) = 3x and h(x) = x – 2 Prove that (fog)oh = fo(goh)
