Answer:
The expression \(5(7(2)^2-3)\) is equivalent to [g o f](2) and the value of [g o f](2) is 125.
Step-by-step explanation:
The given function are
\(f(x)=7x^2-3\)
\(g(x)=5x\)
We have to find the value of [g o f](2).
(f\circ g)(x)=f(g(x))
\((g\circ f)(2)=g(f(2))\)
\((g\circ f)(2)=f(7(2)^2-3)\) [tex[\because f(x)=7x^2-3][/tex]
\((g\circ f)(2)=5(7(2)^2-3)\) [tex[\because g(x)=5x][/tex]
\((g\circ f)(2)=125\)
Therefore the expression \(5(7(2)^2-3)\) is equivalent to [g o f](2) and the value of [g o f](2) is 125.
