# Let f(x)= -4x + 7 and g(x)= 10x-6. What is f(g(x))?

To find $f \left(g \left(x\right)\right)$ we substitute $g \left(x\right)$ for $\left(x\right)$ in the expression for $f \left(x\right)$:
f(g(x)=-4(10x-6)+7=-40x+24+7
Therefore $f \left(g \left(x\right)\right) = - 40 x + 31$