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 :

(a) No

[tex]f(x) = 12 - 5x[/tex]

[tex]f(0) = 12 - 5(0)[/tex]

[tex]f(x) = 12 - 0[/tex]

[tex]f(x) = 12[/tex]

Hence,

f(0) is unequal to 0.

(b)

[tex]f(x) = 12 - 5x[/tex]

[tex]f( - 1) = 12 - 5( - 1)[/tex]

[tex]f( - 1) = 12 + 5[/tex]

[tex]f( - 1) = 17[/tex]

(c)

[tex]f(x) = 12 - 5x[/tex]

[tex]f(x) = 6[/tex]

[tex]6 = 12 - 5x[/tex]

[tex]6 - 12 = - 5x[/tex]

[tex] - 6 = - 5x[/tex]

[tex]6 = 5x[/tex]

[tex] \frac{6}{5} = x[/tex]

Other Questions