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1i) Let f(x)=ln(x+3) sketch the mirror line of y=x on the axes. Sketch f(x) on the axes.
ii) Indicate the domain and range of f(x).
iii) Is f(x) a one-to-one function? Explain this algebraically and graphically by using appropriate tests.
iv) Find the inverse function of f(x).Show all steps and sketch and label the inverse function on the previous graph of question 1i.
v) Indicate the domain and range of the inverse function.Compare the domain and range of f(x) and of the inverse f(x);what statement can be made about them.
vi)Let g be the inverse function in part iv. Show that g o f(x)=x and g o f(y)=y (show all your steps.)
A grapefruit is thrown with a velocity of 50 ft/sec upwards, off the top of a 256- foot tall building. How long does it take for the grapefruit to reach, and splatter all over, the sidewalk below?
An orchard contains 53 peach trees with each tree yielding an average of 51 peaches. For each 5 additional trees planted, the average yield per tree decreases by 12 peaches. How many trees should be planted to maximize the total yield of the orcha..
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compare the domain and range of fx x2 6 and gx -x 2
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Find the solutions of the exponential equation
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