Question

.22 Write the domain and range of the following function
f(x) = x2 - 64
X-8​

Answer 1

Answer:

Domain: R\{8}=(−∞,8)∪(8,∞)

Range: R\{16}=(−∞,16)∪(16,∞)

Step by step Explanation:

f(x)=x2−64x−8=(x−8)(x+8)x−8=x+8

with exclusion x≠8

When x=8, both the numerator and denominator are 0 resulting in an undefined value. So x=8 is not in the domain.

f(x) is well defined for all other values of x

So the domain is R\{8}=(−∞,8)∪(8,∞)

The range is the set of values that f(x) takes for x∈R\{8}, namely (−∞,16)∪(16,∞).

Note that f(x) can take any value except 16