14. Solve part B only (-2,0) 0(0, -1)(4, -3)Figure 4NOT TO SCALE(8,0)y = f(x)Figure 4 shows the curve y = f(x) which crosses the x- axis at (-2,0) and(8, 0); and crosses the y axis at (0, -1). There is a stationary valueat (4,-3).On two separate sets of axes, sketch the graphs ofi) y = f(x-2)ii) y = f(-x)In each case, show clearly the coordinates of any stationary value and wherethe curve crosses an axis. b) Functions g(x) and h(x) are defined as follows:g(x) = ln(x + 1) (x > 0)5x + 28i) State the range of g(x).ii) Find g[h()]. Give your answer in exact form.iii) Find the exact value of y if g¹(y) = 9.iv) Solve |h(x)] = 14.h(x) =(18

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b) Functions g(x) and h(x) are defined as follows: g(x) = ln(x + 1) (x > 0) h(x) =** + ? (-∞0 < x < ∞0) i) State the range of g(x). ii) Find g[h()]. Give your answer in exact form. iii) Find the exact value of y if g ¹ (y) = 9.

b) Functions g(x) and h(x) are defined as follows: g(x) = ln(x + 1) (x > 0) h(x) =** + ? (-∞0 < x < ∞0) i) State the range of g(x). ii) Find g[h()]. Give your answer in exact form. iii) Find the exact value of y if g ¹ (y) = 9.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter6: Rates Of Change

Section6.1: Velocity

Problem 2SBE: Sign of VelocityWhen directed distance is decreasing, is velocity positive or negative? What is the...

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