Advertisements
Advertisements
प्रश्न
Find the value of k, such that fog = gof
f(x) = 3x + 2, g(x) = 6x – k
Advertisements
उत्तर
f(x) = 3x + 2, g(x) = 6x – k
fog(x) = f(g(x))
= f(6x – k)
= 3(6x – k) + 2
= 18x – 3k + 2 …(1)
gof(x) = g(f(x))
= g(3x + 2)
= 6(3x + 2) – k
= 18x + 12 – k ...(2)
(1) = (2)
⇒ 18x – 3k + 2 = 18x + 12 – k
2k = –10
k = –5
APPEARS IN
संबंधित प्रश्न
Using the function f and g given below, find fog and gof. Check whether fog = gof
f(x) = `(2)/x`, g(x) = 2x2 – 1
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) = 2x – k, g(x) = 4x + 5
If f(x) = 2x – 1, g(x) = `(x + 1)/(2)`, show that fog = gof = x
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
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)
