Question

If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)

Answer 1

(g-f)(3)=g(3)-f(3)=?.....................................................

Answer 2

23

Explanation:

Given :
`f(x)=4-x^2`

`g(x) = 6x`

To Find: which expression is equivalent to (g – f)(3)?

Solution:

`f(x)=4-x^2`

`g(x) = 6x`

`(g-f)(x)=6x-4+x^2`

Now substitute x = 3

`(g-f)(3)=6(3)-4+(3)^2`

`(g-f)(3)=18-4+9`

`(g-f)(3)=23`

Hence the value of
`(g-f)(3)` is 23.