Page 29 - Algebra 1

7. If f(x) = 𝑥+1, what is the value of f(f(x))? 𝑥−1
8. Find the range of f(x) = x2
9. Iff(x)=x2–4andg(x)=x+2,find(f–g)(x)
a)x2–3x+1 c)x2+3x+1 e) x2 –x–6
x2 –3x–1 –(x2 –x–6)
a) x b) x2
c) x + 1 d) x – 2
e) x – 1
a) R b) (–1, 1)
c) [0, ∞) d) (–∞,0]
e) R – [0, ∞)
b)
d)
10. Find the value of x for which the functions f(x) = x + 5 and g(x) = 5x2 – 1 are equal. a) 1 or –5 1
c) 2 or –
11
45
𝑥 11. Find the range of the function f(x) = |𝑥|.
a) R {1, –1} c) [1, –1] {0, 1}
b)
d)
– 1 or
e) Cannot be determined
b)
d)
e) [0, – 1]
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ALGEBRA