Answer:
1. 31
Step-by-step explanation:
a² + 8² = 32² (<em>figure out what 8² and 32² equal</em>)
a² + 64 = 1024 (<em>subtract 1024 - 64</em>)
a² = 960 (<em>find the square root of 960</em>)
√960 = 30.98 = 31 (<em>round to the nearest whole number</em>)
3
because there are only three pictures
.
In other words, the in could be any real number as long as for all integer (including negative integers.)
The tangent function has a real value for real inputs as long as the input for all integer .
Hence, the domain of the original tangent function is .
On the other hand, in the function , the input to the tangent function is replaced with .
The transformed tangent function would have a real value as long as its input ensures that for all integer .
In other words, would have a real value as long as .
Accordingly, the domain of would be .
4
two in two places gives four