Question

Let f(x)-2x-5 and g(x)=5x-2
find the value of (g o f)(-5)

Answer 1

To find the value of (g o f)(-5), substitute the expression for f(x) into g(x) and evaluate the resulting expression.

Step-by-step explanation:

To find the value of (g o f)(-5), we first need to substitute the expression for f(x) into g(x). In other words, we substitute -2x-5 for x in the expression for g(x).

So, (g o f)(x) = g(f(x)) = g(-2x-5) = 5(-2x-5) - 2 = -10x - 25 - 2 = -10x - 27.

Now, we can find the value of (g o f)(-5) by substituting -5 for x in the expression -10x - 27. Therefore, (g o f)(-5) = -10(-5) - 27 = 50 - 27 = 23.

Answer 2

(g ○ f)(- 5) = 23

Step-by-step explanation:

to find (g ○ f)(- 5), first, evaluate f(- 5), then substitute the value obtained into g(x)

f(x) = - 2x - 5 , then

f(- 5) = - 2(- 5) - 5 = 10 - 5 = 5 , then

g(x) = 5x - 2 , so

f(5) = 5(5) - 2 = 25 - 2 = 23