Answer:
- [tex] \boxed{ f\cdot{g}(x) = x {}^{3} - x {}^{2}}[/tex]
Step by step explanation:
Given that,
[tex]f(x) = {x}^{2} [/tex]
[tex]g(x) = x - 1[/tex]
Solution:
Solving for (f•g)(x):
[tex] = f(x) \cdot g(x)[/tex]
Now substitute the given values.
[tex] = x {}^{2} \cdot(x - 1)[/tex]
[tex] = x {}^{2} (x - 1)[/tex]
Apply distributive property:
[tex] = (x ^{2} \cdot x) - x {}^{2} \cdot 1[/tex]
- [tex] \boxed{ f\cdot{g}(x) = x {}^{3} - x {}^{2}}[/tex]
Hence,f•g(x) will be [tex] x {}^{3} - x {}^{2}[/tex].
