Question

If f(x) = 4–1 and g(x) = 8x, which expression is equivalent to (g-1)(3)?

O 8-3-(4 + 3)
08-3-(4-32
813)-4432
O 6(3) 4-32

Answer 1

Option (3)

Explanation:

Given functions are f(x) = 4 - x² and g(x) = 6x

We gave to find the expression for (g - f)(3).

(g - f)(x) = g(x) - f(x)

= 6x - (4 - x²)

= 6x - 4 + x²

By substituting x = 3 in this expression,

(g - f)(x) = 6(3) - 4 + (3)²

Therefore, option (3) will be the answer.