How do you find f(-3) given 3-5x if x ≤0, 4x if 0<x<8, 5x+3 if x ≥ 8?

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Answer 1 · 2017-07-05T20:02:27

See a solution process below:

Because: #-3 <= 0# we will use the function #f(x) = 3 - 5x#

to solve this problem.

To find #f(-3)# we will substitute #color(red)(-3)# for each occurrence of #color(red)(x)# in #f(x) = 3 - 5x#

#f(color(red)(x)) = 3 - 5color(red)(x)# becomes:

#f(color(red)(-3)) = 3 - (5 * color(red)(-3))#

#f(color(red)(-3)) = 3 - (-15)#

#f(color(red)(-3)) = 3 + 15#

#f(color(red)(-3)) = 18#