Question

Let the function be f defined by f (x) = 12 - 5x

(a) is it true that f (0) = 0 ? explain why or why not.
(b) evaluate f (-1)
(c) what value of a will make the equation f (a) = 6 true?

PLEASE HELP ME

Answer 1

(a) No

`f(x) = 12 - 5x`

`f(0) = 12 - 5(0)`

`f(x) = 12 - 0`

`f(x) = 12`

Hence,

f(0) is unequal to 0.

(b)

`f(x) = 12 - 5x`

`f( - 1) = 12 - 5( - 1)`

`f( - 1) = 12 + 5`

`f( - 1) = 17`

(c)

`f(x) = 12 - 5x`

`f(x) = 6`

`6 = 12 - 5x`

`6 - 12 = - 5x`

`- 6 = - 5x`

`6 = 5x`

`(6)/(5) = x`