Answer:
[tex] \boxed{\sf 3f(x) + 2g(x)= 3 {x}^{2} + 3 x - 8} [/tex]
Given:
f(x) = x² - 4
g(x) = 3x + 2
To Find:
[tex] \sf 3f(x) + 2g(x)[/tex]
Step-by-step explanation:
[tex]\sf \implies 3f(x) + 2g(x) \\ \\ \sf \implies 3( {x}^{2} - 4) + 2(3x + 2) \\ \\ \sf \implies (3 \times {x}^{2} ) - (3 \times 4) + (2 \times 3x) + (2 \times 2) \\ \\ \sf \implies 3 {x}^{2} - 12 + 3x + 4 \\ \\ \sf \implies 3 {x}^{2} + 3x + ( - 12 + 4) \\ \\ \sf \implies 3 {x}^{2} + 3 x - 8[/tex]
