I need help on question 5. Letter c
1 answer:
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Answer:
1/4
Step-by-step explanation:
The tangent line to f(x) at x=2 goes through the point (2, 8) and has slope 4.
The inverse function f⁻¹(x) is a reflection of the function f(x) across the line y=x. The corresponding tangent line will go through point (8, 2) and have slope 1/f'(2) = 1/4 at that point. That is, ...
(f⁻¹)'(8) = 1/f'(f⁻¹(8)) = 1/f'(2) = 1/4
Find some coordinates
y=x+2
- (0,2)
- (-1,1)
- (1,3)
y=1/2(x+3)(x-5)
- (0,-15/2)
- (1,-8)
- (-1,-6)
Graph attached
Solutions are
- (6,796,8.796)
- (-2.796,-0.796)
