h(x) = x-2/5
find the indicated value of h(h(-4))
To find the indicated value of h(h(-4)), we will substitute -4 into the function h(x) twice.
Step 1: Substitute -4 into h(x):
h(-4) = (-4) - 2/5
To simplify, let's convert -4 into a fraction over 1:
h(-4) = (-4/1) - 2/5
Now we need to find a common denominator to combine the fractions:
h(-4) = (-20/5) - 2/5
Combining the fractions:
h(-4) = (-20 - 2) / 5
= (-22/5)
Step 2: Substitute (-22/5) into h(x):
h((-22/5)) = (-22/5) - 2/5
Combining the fractions:
h((-22/5)) = (-22 - 2) / 5
= (-24/5)
Therefore, the indicated value of h(h(-4)) is -24/5.