Answer:
x = 3i
Step-by-step explanation:
(x+5)² - 4 = 12
simplify (x+5)²
x × x + 5 × 5 - 4 = 12
x² + 25 - 4 = 12
x² + 21 = 12
combine the like terms
x² = 12 - 21
x² = -9
square root both sides to solve for x
√x² = √-9
the square cancels the square root, so we have
x = √-9
x = 3i
Answer:
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Answer:
Domain of y=
: is x>=1
Interval notation: [1,∞)
Step-by-step explanation:
We have y=![\sqrt[4]{x-1}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx-1%7D)
1) The domain of a function is the set of x values for which the function is real and defined.
2) So, x-1 should be positive means x-1>=0, because fourth root of any negative value would be a complex number and not a real number.
3) Now we solve the inequality x-1>=0
4) Adding 1 to both sides of the inequality we get,
x-1+1 > = 0+1
5) Cancel out -1 and +1 from the left side
6) We get x>=1
It concludes that for the domain of the given function, the x value must be greater than or equal to 1
Answer:

Step-by-step explanation:
Let the exponential function be
.
When x=0, 


The function now becomes 
When x=1, f(1)=-5
This implies that:

Therefore the equation for the exponential function represented in the table below is 