25 and 26 25 and 26 defined by f (x) = ax + b , for some integers a, b. Determine a, b. t 034 Write the domain and range of f (x) = 2-x Q•25 Find the domain and range of f (x) = Find the domain and range of f (X) = 0.26 Find the domain and range of f (X) = 0.27 Find the domain and range of f (X) = Q.28 x 2 —31+2 Q.29 Find the domain and range of f (x) = 2 .30 Share with your friends Share 0 Varun Rawat answered this 25.We have,fx = 25 - x2We observe that fx is defined for all x satisfying 25 - x2 ≥0 ⇒x2 - 25≤0 ⇒x - 5x + 5≤0 ⇒-5≤x≤5⇒x∈-5, 5So, dom f =-5, 5Let y = fx. Theny = 25 - x2⇒y2 = 25 - x2⇒x2 = 25 - y2⇒x = 25 - y2Clearly, x will take real values if25 - y2≥0 ⇒y2 - 25 ≤0 ⇒y + 5y - 5≤0 ⇒-5≤y≤5 ⇒ y∈-5, 5Also, y = 25 - x2 ≥0 for all x ∈-5, 5.So, y∈0, 5 for all x ∈-5, 5.So, range of f = 0, 526.We have,fx = 9 - x2We observe that fx is defined for all x satisfying 9 - x2 ≥0 ⇒x2 - 9≤0 ⇒x - 3x + 3≤0 ⇒-3≤x≤3⇒x∈-3, 3So, dom f =-3, 3Let y = fx. Then y = 9 - x2⇒y2 = 9 - x2⇒x2 = 9 - y2⇒x = 9 - y2Clearly, x will take real values if9 - y2≥0 ⇒y2 -9 ≤0 ⇒y + 3y - 3≤0 ⇒-3≤y≤3 ⇒ y∈-3, 3Also, y = 9 - x2 ≥0 for all x ∈-3, 3.So, y∈0, 3 for all x ∈-3, 3.So, range of f = 0, 3 0 View Full Answer
