Given f(x) = x - 7 and g(x) = x2 . Find g(f(4)). g(f(4)) =

Solution:

Given, f(x) = x - 7

g(x) = x2

We have to find g(h(4)).g(h(4))

g(h(x)) = g(x - 7)

= (x - 7)2

Put x = 4 in g(h(x))

g(h(4)) = (4 - 7)2 = (-3)2 = 9

Now, g(h(4)).g(h(4)) = 9(9) = 81

Therefore, the value of g(f(4)). g(f(4)) = 81.

Example: Given f(x) = x - 1 and g(x) = x . Find g(f(3)). g(f(3)) =

Solution:

Given, f(x) = x - 1

g(x) = x

We have to find g(h(4)).g(h(4))

g(h(x)) = g(x - 1)

= x - 1

Put x = 3 in g(h(x))

g(h(3)) = 3 - 1 = 2

Now, g(h(3)).g(h(3)) = 2(2) = 4

Therefore, the value of g(f(3)). g(f(3)) = 4.

Given f(x) = x - 7 and g(x) = x2 . Find g(f(4)). g(f(4)) =

Summary:

Given f(x) = x - 7 and g(x) = x2, then g(f(4)). g(f(4)) = 81.

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