Question

for f(x)=4x+1 and g(x)=x^2-5 find (fxg)(x)

Answer 1

Answer:

4$x^3$ + $x^2$ -20x - 5

Step-by-step explanation:

(f*g)(x) means to multiply the two functions. (I think you meant a times sign instead of an x, right?)

So (4x + 1)($x^2$ - 5).

FOIL these two binomials.

(4x * $x^2$ ) + (4x * -5) + ($x^2$  * 1) + (1 * -5)

Simplify.

4$x^3$ - 20x + $x^2$ -5

Combine like terms. There are none, in this case!

Rearrange to standard form.

4$x^3$ + $x^2$ -20x - 5