Answer:
see explanation
Step-by-step explanation:
Substitute the given values of x into f : x → [tex]\frac{3}{7}[/tex] x + 4
x = - 14 → ([tex]\frac{3}{7}[/tex] × - 14) + 4 = (3 × - 2) + 4 = - 6 + 4 = - 2
x = 28 → ( [tex]\frac{3}{7}[/tex] × 28) + 4 = (3 × 4) + 4 = 12 + 4 = 16
x = [tex]\frac{7}{8}[/tex] → ([tex]\frac{3}{7}[/tex] × [tex]\frac{7}{8}[/tex] ) + 4 = [tex]\frac{3}{8}[/tex] + 4 = [tex]\frac{3}{8}[/tex] + [tex]\frac{32}{8}[/tex] = [tex]\frac{35}{8}[/tex]
x = - [tex]\frac{2}{9}[/tex] → ([tex]\frac{3}{7}[/tex] × - [tex]\frac{2}{9}[/tex] ) + 4 = ([tex]\frac{1}{7}[/tex] × - [tex]\frac{2}{3}[/tex]) + 4 = - [tex]\frac{2}{21}[/tex] + [tex]\frac{84}{21}[/tex] = [tex]\frac{82}{21}[/tex]
