Question

F(x) = -3x+17 and g(x) = x^2 -6 find g(5)-f(5)

Answer 1

For the given functions, the value of g(5)-f(5) = 17

Explanation:

Here, the given functions are:

f(x) = -3x + 17

`g(x) = x ^2 - 6`

So, f(5) = -3(5) + 17

= -15 + 17 = 2

And
`g(5) = (5)^2  - 6  = 25 - 6  = 19`

So, f(5) = 2 and g(5) = 19

⇒g(5) - f(5) = 19 - 2 = 17

Hence, for the given functions, the value of g(5)-f(5) = 17