Question

Given f(x) = x − 7 and g(x) = x2 .

Find g(f(4)).

g(f(4))

Answer 1

g(f(4)) = 9

Explanation:

We have given two function.

f(x) = x-7 and g(x) = x²

Firstly, We have to find then substitute x = 4 to find g(f(4)).

g(f(x)) = g(x-7)

Replace x with x-7 in g(x).

g(f(x)) = (x-7)²

putting x = 4 in above equation ,we get

g(f(4)) = (4-7)²

g(f(4)) =(-3)² = 9

g(f(4)) = 9 which is the answer.

Answer 2

value of
`g(f(4))` is 9

Explanation:

Given the function:

`f(x) = x-7` and
`g(x) = x^2`

We have to find the value of
`g(f(4))`

`g(f(x)) = g(x-7)`

replace x with x-7 in g(x) we have;

`g(f(x)) = g(x-7) = (x-7)^2`

Put the value of x =4 we get;

`g(f(4)) = (4-7)^2 = (-3)^2 = 9`

Therefore, the value of
`g(f(4))` is 9