Stitz-Zeager_College_Algebra_e-book

# How many functions did you nd that failed to satisfy

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Unformatted text preview: unction that takes a real number x and performs the following three steps in the order given: (1) subtract 13; (2) square root; (3) make the quantity the denominator of a fraction with numerator 4. Find an expression for g (x) and ﬁnd its domain. 3. Suppose h is a function that takes a real number x and performs the following three steps in the order given: (1) square root; (2) make the quantity the denominator of a fraction with numerator 4; (3) subtract 13. Find an expression for h(x) and ﬁnd its domain. 4. Suppose k is a function that takes a real number x and performs the following three steps in the order given: (1) make the quantity the denominator of a fraction with numerator 4; (2) square root; (3) subtract 13. Find an expression for k (x) and ﬁnd its domain. 5. For f (x) = x2 − 3x + 2, ﬁnd and simplify the following: (a) f (3) (d) f (4x) (g) f (x − 4) (b) f (−1) (e) 4f (x) (h) f (x) − 4 (f) f (−x) (i) f x2 (c) f 3 2 6. Repeat Exercise 5 above for f (x) = 2 x3 7. Let f (x) = 3x2 + 3x − 2. Find and simplify the following: 2 a f (a) 2 (a) f (2) (d) 2f (a) (g...
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