Evaluate the following functions for the given value hs 3

Evaluate the following functions for the given value. h(s) = 3 - s - 1/2s^2 for s = j - 2 f(x) = 2x^2 - 5 for x = -1 g(t) = 8t - 3 for t = d - 2 f(y) = y + 2/y - 2 for y = m + k f(x) = 9x + 1 for x = t + 2

Solution

h(s) = 3 - s- s^2/2

s = j - 2

3 - (j - 2) - (j - 2)^2/2

3- j + 2 - (j^2 - 4j + 4)/2

5 - j - j^2/2 + 4j/2 - 4/2

5 - j - j^2/2 + 2j - 2

-j^2/2 + j + 3

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2)
x = -1 :

2(-1)^2 - 5

2(1) - 5

2 - 5

-3

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3)
8(d - 2) - 3

8d - 16 - 3

8d - 19

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4)
(m + k + 2) / (m + k - 2)

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5)
9(t + 2) + 1

9(t) + 9(2) + 1

9t + 19