Answer:
![\Large \boxed{\sf \ \ f^{-1}(x)=x^2-3 \ \ }](https://tex.z-dn.net/?f=%5CLarge%20%5Cboxed%7B%5Csf%20%5C%20%5C%20f%5E%7B-1%7D%28x%29%3Dx%5E2-3%20%5C%20%5C%20%7D)
Step-by-step explanation:
Hello,
![\text{For }x+3\geq 0\\\\f(x)=\sqrt{x+3}\\\\x=(fof^{-1})(x)=f(f^{-1}(x))=\sqrt{f^{-1}(x)+3}\\\\\text{*** take the square ***}\\\\f^{-1}(x)+3=x^2\\\\\text{*** subtract 3 from both sides ***}\\\\\large \boxed{\sf \ \ f^{-1}(x)=x^2-3 \ \ }\\](https://tex.z-dn.net/?f=%5Ctext%7BFor%20%7Dx%2B3%5Cgeq%200%5C%5C%5C%5Cf%28x%29%3D%5Csqrt%7Bx%2B3%7D%5C%5C%5C%5Cx%3D%28fof%5E%7B-1%7D%29%28x%29%3Df%28f%5E%7B-1%7D%28x%29%29%3D%5Csqrt%7Bf%5E%7B-1%7D%28x%29%2B3%7D%5C%5C%5C%5C%5Ctext%7B%2A%2A%2A%20take%20the%20square%20%2A%2A%2A%7D%5C%5C%5C%5Cf%5E%7B-1%7D%28x%29%2B3%3Dx%5E2%5C%5C%5C%5C%5Ctext%7B%2A%2A%2A%20subtract%203%20from%20both%20sides%20%2A%2A%2A%7D%5C%5C%5C%5C%5Clarge%20%5Cboxed%7B%5Csf%20%5C%20%5C%20f%5E%7B-1%7D%28x%29%3Dx%5E2-3%20%5C%20%5C%20%7D%5C%5C)
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Answer:
560 seconds.
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
Answer:
sum of interior angles - 540
x = 112
Step-by-step explanation:
Hello There!
<u>Geometry</u>
The sum of the interior angles can be found using this formula
let x = sum of interior angles and n = number of sides
x = ( n - 2 ) * 180
there are 5 sides so we plug in 5 to n
5 - 2 = 3
3 * 180 = 540 so the sum of the interior angles is 540
Now to solve for x
Remember the sum of the interior angles is 540 so we use this equation to solve for x
<u>Simple Algebra</u>
540 = x + 118 + 105 + 75 + 130
step 1 combine like terms
118 + 105 + 75 + 130 = 428
now we have 540 = 428 + x
step 2 subtract 428 from each side
540 - 428 = 112
we're left with x = 112
Use exponential law, we have