Answer:
A
Step-by-step explanation:
since gallons of gas and distance never negative
F⁻¹(x) is the notation for the inverse of an equation, so you just need to find the inverse equation. that's found by swapping your x and y variables:
<span>f(x) = 2x + 2 ... replace f(x) with y
y = 2x + 2 ... swap x and y variables
x = 2y + 2 ... solve for y
x = 2y + 2 ... subtract 2
x - 2 = 2y ... divide by 2
(x - 2)/2 = y
so, </span>f⁻¹(x) = (x - 2)/2 ... now you need to solve that for when x = 4. plug it in:
f⁻¹(x) = (4 - 2)/2 ... simplify the top of the fraction
f⁻¹(x) = 2/2
f⁻¹(x) = 1 is your answer.
The height of the mountain is 0. 2 km
<h3>How to determine the height</h3>
First, let's find the hypotenuse of the second triangle
Using the tangent identity, we have;
tan θ = opposite/ adjacent
tan 3. 5 = x/ 19
cross multiply
x = tan 3 . 5 × 19
x = 0. 061 × 19
x = 1. 16 km
Now, we have the hypotenuse side of the second triangle and we need to find the opposite side which is the height of the mountain
Using the sine identity:
sin 9 = y/ 1.16
cross multiply
y = sin 9 × 1. 16
y = 0. 1564 × 1. 16
y = 0. 18 km
y = 0. 2 km in one decimal place
Thus, the height of the mountain is 0. 2 km
Learn more about angle of elevation here:
brainly.com/question/2004882
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