University:
Highline College
Course:
MATHP 141 | Precalculus I Plus Extra Support
Academic year:

2022
Views:

371

Pages:

2
Author:

Cory Singh

Workshop #24 1. Let f (x) = x2 − 1 and let g(x) = 3x − 1 Compute the following: 2. Let f (x) = (a) x, g(x) = x2 − 1 1 − h(x) 2 3. Let f (x) = (a) √ 3 x2 √ (d) g(f (x)) (c) (f ◦ g)(x) (b) (f · g)(x) (a) (f − g)(2) 5 2 and h(x) = . Compute the following x 2x + 1 h(x) (c) g(h(x)) (b) √ 3 3 . Express each of the following in terms of f, g, and h. x 1 2 3 (c) 2 + (b) √ x x x x, g(x) = x2 + 2x and h(x) = 3 + 2x 4. Consider the graphs of f and g. Compute the following exactly. y 4 3 2 f (x) 1 x −5 −4 −3 −2 −1 1 2 3 4 5 −1 g(x) −2 (a) (g + f )(−5) (c) (f ◦ g)(5) (e) (g ◦ g)(−2) (b) g(5) (d) f (−g(0)) (f) Give an exact value for f (1). 5. Which of the following are exponential functions? (a) f (x) = 2x (d) j(x) = 1x (b) g(x) = x2 (e) k(x) = π x (c) h(x) = 2x (f) (x) = (−2)x 6. Graph y = 2x and y = 3x on the same set of axis. (a) Where do the two curves intersect? (b) On which intervals is 2x > 0? (c) On which intervals is 2x < 3x ? (d) Consider y = (2.71828)x . i. For which x values is 3x < (2.71828)x < 2x ? ii. For which x values is 3x = (2.71828)x = 2x ? 7. Consider the function f (x) = bx . What b guarantees that the graph of f (x) will pass through exponential 1 the point −3, 343