Question

Find domain and range of f(x)=x-9/x-64

Answer 1

Answer:

As we are given a real function, thus the domain and range should be real numbers.

(i) f(x)=−∣x∣

f(−1)=−∣−1∣=−1

f(0)=−∣0∣=0

f(1)=−∣1∣=−1

Here, x can be any real number, but f(x) will always be negative or zero.

Therefore,

Domain of function =R(All real numbers)

Range of the function = Negative real numbers

(ii) f(x)=9−x2

9−x2≥0

x2<9

x<±3

x∈[−3,3]

f(−3)=9−(−3)2=0 (Real number)

f(0)=9−0=3 (Real number)

f(3)=9−(3)=0 (Real number)

Here,

−3≤x≤3

0≤f(x)≤3

Therefore,

Answer 2

Answer:

3

Step-by-step explanation:

Find domain and range of f(x)=x-