Question

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

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)

$f(x) = 12 - 5x$

$f(x) = 6$

$6 = 12 - 5x$

$6 - 12 = - 5x$

$- 6 = - 5x$

$6 = 5x$

$\frac{6}{5} = x$