Answer:
value of [tex]g(f(4))[/tex] is 9
Step-by-step explanation:
Given the function:
[tex]f(x) = x-7[/tex] and [tex]g(x) = x^2[/tex]
We have to find the value of [tex]g(f(4))[/tex]
[tex]g(f(x)) = g(x-7)[/tex]
replace x with x-7 in g(x) we have;
[tex]g(f(x)) = g(x-7) = (x-7)^2[/tex]
Put the value of x =4 we get;
[tex]g(f(4)) = (4-7)^2 = (-3)^2 = 9[/tex]
Therefore, the value of [tex]g(f(4))[/tex] is 9
Answer:
g(f(4)) = 9
Step-by-step 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.
