Question

If f(x) = x2 + 5 and g(x) = 5x + 4, what is [f o g](6)?

Answer 1

`\bf f(x)=x^2+5\qquad g(x)=5x+4 \\\\\\ (f\circ g)(x)\implies f(\quad g(x)\quad ) \\\\\\ f(\quad g(x)\quad )=[g(x)]^2+5\implies f(\quad g(x)\quad )=[5x+4]^2+5 \\\\\\ f(\quad g(\underline{6})\quad )=[5(\underline{6})+4]^2+5`