Let A = f(t) be the depth of tread, in centimeters, on a radial tire as a function of the time elapsed t, in months, since the purchase of the tire. What is the sign of (F4)'(A)? Explain why. O (a) A = f(t) is a decreasing function, so its inverse will also be decreasing, and (f)'(A) will be positive. (b) A = f(t) is a increasing function, so its inverse will also be increasing, and (f1)'(A) will be positive. O (c) A = f(t) is a decreasing function, so its inverse will also be decreasing, and (f1)'(A) will be negative. O (d) A = f(t) is a increasing function, so its inverse will also be increasing, and (f)'(A) will be negative.

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Chapter6: Exponential And Logarithmic Functions
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Let A = f(t) be the depth of tread, in centimeters, on a radial tire as a function of the time elapsed t, in months, since the purchase of
the tire.
What is the sign of (F1)'(A)? Explain why.
O (a) A = f(t) is a decreasing function, so its inverse will also be decreasing, and (f1)'(A) will be positive.
O (b) A = f(t) is a increasing function, so its inverse will also be increasing, and (f1)'(A) will be positive.
O (c) A = f(t) is a decreasing function, so its inverse will also be decreasing, and (f4)'(A) will be negative.
O (d) A = f(t) is a increasing function, so its inverse will also be increasing, and (f1)'(A) will be negative.
Transcribed Image Text:Let A = f(t) be the depth of tread, in centimeters, on a radial tire as a function of the time elapsed t, in months, since the purchase of the tire. What is the sign of (F1)'(A)? Explain why. O (a) A = f(t) is a decreasing function, so its inverse will also be decreasing, and (f1)'(A) will be positive. O (b) A = f(t) is a increasing function, so its inverse will also be increasing, and (f1)'(A) will be positive. O (c) A = f(t) is a decreasing function, so its inverse will also be decreasing, and (f4)'(A) will be negative. O (d) A = f(t) is a increasing function, so its inverse will also be increasing, and (f1)'(A) will be negative.
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