Find (f ° g)(0). *
f(x) = 5x – 4
g(x) = x^2 – 1
O A.3
OB. -9
O c.-4
O D.-17
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Answer:
B
Step-by-step explanation:
Remark
I have to represent f(x) as plus +f(x)
I like to show this situation as +f(g(x)) which I think is much clearer.
+f(x) = 5x - 4
Solution
+f(g(x)) = 5(g(x)) - 4 What has happened is that wherever you see an x on the right you put in g(x).
Now on the right, you put whatever g(x) is equal to.
+f(g(x)) = 5(x^2 - 1) - 4
Remove the brackets.
+f(g(x)) = 5x^2 - 5 - 4
And make x = 0
+f(g(0)) = 5*0 - 5 - 4
+f(g(0)) = - 9