Find f(g(x)) f(x)=5x-4 , g(x)=8x+6

$f (x) = 5 x - 4$ , $g (x) = 8 x + 6$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (8 x + 6)$ by substituting in the value of $g$ into $f$ .

$f (8 x + 6) = 5 (8 x + 6) - 4$

Step 3

Simplify each term.

Apply the distributive property.

$f (8 x + 6) = 5 (8 x) + 5 \cdot 6 - 4$

Multiply $8$ by $5$ .

$f (8 x + 6) = 40 x + 5 \cdot 6 - 4$

Multiply $5$ by $6$ .

$f (8 x + 6) = 40 x + 30 - 4$

Step 4

Subtract $4$ from $30$ .

$f (8 x + 6) = 40 x + 26$