5. for ( t(x)=\frac{2}{3}x ), determine:\na. ( t(9) )\nb. ( t(-7) )\nc. ( tleft(\frac{3}{5}\right) )

Explanation:

Step1: Substitute (x = 9) into (t(x))

(t(9)=\frac{2}{3}\times9)

Step2: Calculate the value

(t(9)= 2\times3=6)

Step3: Substitute (x=-7) into (t(x))

(t(-7)=\frac{2}{3}\times(-7))

Step4: Calculate the value

(t(-7)=-\frac{14}{3})

Step5: Substitute (x = \frac{3}{5}) into (t(x))

(t(\frac{3}{5})=\frac{2}{3}\times\frac{3}{5})

Step6: Calculate the value

(t(\frac{3}{5})=\frac{2\times3}{3\times5}=\frac{2}{5})

Answer:

a. (6) b. (-\frac{14}{3}) c. (\frac{2}{5})