Question

Q.4 Find the domain and range of the real function, f(x) = sqrt(49/4 - x ^ 2)​

Answer 1

Step-by-step explanation:

√49/4 -x²

Quantity inside root should be positive

49/4 - x² >= 0

x²<= 49/4

-7/2 <= x <= 7/2

Domain - x belongs to [-7/2,7/2]

y = √49/4-x²

y = 7/2 - x

for x = -7/2

y = 7/2 + 7/2 = 14/2 = 7

for x = 7/2

y = 0

Range - [0,7]