F(5):
[tex]f(5) = 3(5)^{2} - 5[/tex]
[tex]f(5) = 15^{2} - 5[/tex]
[tex]f(5) = 225 - 5[/tex]
[tex]f(5) = 220[/tex]
G(5):
[tex]g(5) = \sqrt{5} - 5 + 2[/tex]
[tex]g(5) = 2,24 - 5 + 2[/tex]
[tex]g(5) = -2,76 + 2[/tex]
[tex]g(5) = -0,76[/tex]
F(4):
[tex]f(4) = 3(4)^{2} - 5[/tex]
[tex]f(4) = 12^{2} - 5[/tex]
[tex]f(4) = 144 - 5[/tex]
[tex]f(4) = 139[/tex]
G(4):
[tex]g(4) = \sqrt{4} - 5 + 2[/tex]
[tex]g(4) = 2 - 5 + 2[/tex]
[tex]g(4) = -3 + 2[/tex]
[tex]g(4) = -1[/tex]
Hope it helped,
BioTeacher101
f(x) = 3x² - 5
f(5) = 3(5)² - 5 → f(5) = 3(25) - 5 → f(5) = 75 - 5 → f(5) = 70
f(4) = 3(4)² - 5 → f(4) = 3(16) - 5 → f(4) = 48 - 5 → f(5) = 43
DOMAIN of f(x): All real numbers (because there are no restrictions on "x")
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g(x) = [tex]\sqrt{x - 5}[/tex] + 2
g(5) = [tex]\sqrt{5 - 5}[/tex] + 2 → g(5) = [tex]\sqrt{0}[/tex] + 2 → g(5) = 2
g(4) = [tex]\sqrt{4 - 5}[/tex] + 2 → g(4) = [tex]\sqrt{-1}[/tex] + 2 → g(4) = no real solutions
DOMAIN of g(x): x ≥ 5 (because you cannot take the square root of a negative number)
