given the functions f(x)=3x² and g(x)=2·4ˣ, which of the following statements is true? answer f(3)=g(3)…
given the functions f(x)=3x² and g(x)=2·4ˣ, which of the following statements is true? answer f(3)=g(3) f(3)>g(3) f(3)<g(3)
Answer
Explanation:
Step1: Calculate $f(3)$
Substitute $x = 3$ into $f(x)=3x^{2}$. So $f(3)=3\times3^{2}=3\times9 = 27$.
Step2: Calculate $g(3)$
Substitute $x = 3$ into $g(x)=2\times4^{x}$. So $g(3)=2\times4^{3}=2\times64 = 128$.
Step3: Compare $f(3)$ and $g(3)$
Since $27<128$, we have $f(3)<g(3)$.
Answer:
$f(3)<g(3)$