# Pre-Calculus

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Find the inverse of the following quadratic equation. Hint: Complete the square first.

y= 2x²+16x-5

• Pre-Calculus -

y = 2(x^2 + 8x +16-16) - 5
= 2( (x+4)^2 - 16) - 5

y = 2(x+4)^2 - 37

then the inverse is
x = 2(y+4)^2 - 37

• Pre-Calculus -

so, does f(f-1(x)) = x?

• Pre-Calculus -

16

ft
ladder leans against the side of a house. The bottom of the ladder is
9

ft
away from the side of the house. Find
x
, the angle of elevation of the ladder. Round your answer to the nearest tenth of a degree.

x
169

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