Answer:
[tex]$ 9x^2 - 5 = 0 $[/tex]
Step-by-step explanation:
Given: [tex]$ f(x) = 9x - 5 $[/tex] and [tex]$ g(x) = x^2 $[/tex].
We are asked to find [tex]$ f(g(x)) $[/tex]
This is composition of two functions. [tex]$ f(g(x)) $[/tex] means [tex]$ g(x) $[/tex] becomes the input for [tex]$ f(x) $[/tex].
So, now [tex]$ f(g(x))$[/tex] [tex]$ = f(x^2) $[/tex]
[tex]$ \implies f(g(x)) = 9(x^2) - 5 $[/tex]
Answer:
9x²-5
Step-by-step explanation:
Given f(x) = 9x - 5 and g(x) = x², (f g)x means we will have to substitute g(x) value into f(x).
Since f(x) = 9x-5
(f g)x = 9x²-5
Note that g(x) which is equal to x² will be substituted for value of x in the function of x i.e f(x) making 9x²-5 the required answer.
