Homework help quick
given f(x)= (X+1)/(x) and g(x)= x squared +1 find (g f)(-9)
the options are
145/21
83/82
145/64
17/9
this is a homework question and it is due tommorow can u also explain or sow how you arrived at that answer
Thanks in advance
To find the value of (g∘f)(-9), we need to substitute -9 into the function g∘f(x).
First, we need to find the composition (g∘f)(x). The composition function is obtained by substituting the function g into the function f.
Substituting f(x) into g(x):
g(x) = x^2 + 1
f(x) = (x + 1) / x
Replace x in g(x) with f(x):
g(f(x)) = f(x)^2 + 1
Now, substitute -9 into f(x):
f(-9) = (-9 + 1) / -9
= -8 / -9
= 8/9
Substitute the value into the composition function:
g(f(-9)) = (8/9)^2 + 1
= 64/81 + 1
= 64/81 + 81/81
= 145/81
Therefore, the value of (g∘f)(-9) is 145/81.
However, the answer options provided do not include 145/81. Therefore, please double-check the options or the calculations to ensure the accuracy of the answer.