Question

If f(x) = 7x2 – 3 and g(x) = 5x, which expression is equivalent to [g o f](2)?

Answer 1

5*(7*x^2 - 3)

5(7 · 2^2 – 3) as the second answer

Answer 2

The expression
`5(7(2)^2-3)` is equivalent to [g o f](2) and the value of [g o f](2) is 125.

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.