Advertisements
Advertisements
Question
Using the function f and g given below, find fog and gof. Check whether fog = gof
f(x) = 3 + x, g(x) = x – 4
Solution
f(x) = 3 + x, g(x) = x – 4
fog = f[g(x)]
= f(x – 4)
= 3 + x – 4
= x – 1
gof = g[f(x)]
= g(3 + x)
= 3 + x – 4
= x – 1
fog = gof
APPEARS IN
RELATED QUESTIONS
Using the function f and g given below, find fog and gof. Check whether fog = gof
f(x) = x – 6, g(x) = x2
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
Find the value of k, such that fog = gof
f(x) = 2x – k, g(x) = 4x + 5
If f(x) = 2x – 1, g(x) = `(x + 1)/(2)`, show that fog = gof = x
If f(x) = x2 – 1, g(x) = x – 2 find a, if gof(a) = 1
If f(x) = x2 – 1. Find fofof
If f : R → R and g : R → R are defined by f(x) = x5 and g(x) = x4 then check if f, g are one-one and fog is one-one?
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
If f(x)= x2, g(x) = 3x and h(x) = x – 2 Prove that (fog)oh = fo(goh)
