What's ƒ(g(x)) if ƒ(x) = 3x + 7 and g(x) =6x – 5?

18x^2 + 27x - 35

Step-by-step explanation:

f(g(x)) means function f times function g. substitute for f and g, which gets you (3x+7)(6x-5). Now, multiply using the distributive property.

3x * 6x = 18x^2

3x * -5 = -15x

7*6x = 42x

7 * -5 = -35

The equation then becomes 18x^2 - 15x + 42x - 35. Simplify the equation.

18x^2 stays, -15x and 42x combine to make 27x, and the -35 stays too.

Finally, you get the equation, 18x^2 + 27x -35.

24

step-by-step explanation:

i assuming that 2 sides are 6 the other 2 sides are 4 cm so 6 times 4 is 24 : )

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2