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Resposta:
3) f(x) = x² - 4 / x - 1
a) f(0)
f(0) = 0² - 4 / 0 - 1
f(0) = 0 - 4 / -1
f(0) = -4 / -1
f(0) = 4
b) (f-2)
f(-2) = (-2)² - 4 / -2 - 1
f(-2) = 4 - 4 / -3
f(-2) = 0 / -3
f(-2) = 0
c) f(1/t)
f(1/t) = (1/t)² - 4 / 1/t - 1
f(1/t) = 1/t² - 4 / 1/t - 1
f(1/t) 1/t + 4
d) f(x-2)
f(x-2) = (x-2)² - 4 / x - 2 - 1
f(x-2) = x²- 4 - 4 / x - 3
f(x-2) = x² - 8 / x - 3
f(x-2) = x - 8/-3
e) f(1/2)
f(1/2) = (1/2)² - 4 / 1/2 - 1
f(1/2) = 1/4 - 4 / 1/2 - 1
f(1/2) = 2/4 + 1
f) f(t²)
f(t²) = (t²)² - 4 / t² - 1
f(t²) = t⁴ - 4 / t² - 1
f(t²) = t² + 4
4) f(x) = 3x - 1 / x - 7
a) 5.f(-1) - 2.f(0) + 3.f(5) / 7
5.(3.-1 - 1/ -1 - 7) - 2.(3.0 - 1 / 0 - 7) + 3.(3.5 - 1 / 5 - 7) / 7
5.(-3 - 1 / -8) - 2.(0 - 1 / -7) + 3.(15 - 1 / -2) / 7
5.(-4 / -8) - 2.(-1 / -7) + 3.(14 / -2) / 7
-20/-8 + 2/-7 + 42 / -2 / 7
-20/8 + 2/-7 - 21 / 7
-140/56 + 16/-56 - 21/7
-124/56 - 21/7
-124/56 - 168/7
-292/56
b) [f(-1/2)]⁻²
[3.-1/2 - 1 / -1/2 - 7]⁻²
[-3/2 - 1 / -1/2 - 7]⁻²
[-6/-2 - 8]⁻²
[3 - 8]⁻²
[-5]⁻²
[-5/1]⁻²
[1/-5]²
[1/25]
0,04
c) f(3x-2)
3.(3x-2) - 1 / 3x-2 - 7
9x - 6 - 1 / 3x - 9
9x - 7 / 3x - 9
3x - 7/-9
d) f(t) + f(4/t)
3.t - 1 / t - 7 + 3.(4/t) - 1 / 4/t - 7
3t - 1 / t - 7 + 12/3t - 1 / 4/t - 7
3t - 1/-7 + 3/t - 7
3t + 48/-7 + 3/t
e) f(h) - f(0) / h
3.h - 1 / h - 7 - 3.0 - 1 / 0 - 7
3h - 1 / h - 7 - 0 - 1 / -7
3h - 1/-7 - 1 / -7
3h - 2/-7
f) f(f(5))
f(5) = 3.5 - 1 / 5 - 7
f(5) = 15 - 1 / -2
f(5) = 14 / -2
f(5) = -7
f(-7) = 3.-7 - 1 / -7 - 7
f(-7) = -21 -1 / -14
f(-7) = -22/-14