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