14.
Let f(x) = -2x - 7 and g(x) = -4x + 3. Find (f o g)(-5)
A)23
B)-53
C)-9
D)3
please help!!
Find (f o g)(-5) = f(g(-5))
g(-5) = -4(-5) + 3 = 23
f(23) = -2(23) - 7
= -46-7
= -53
O MY GOODNESS I UNDERSTAND NOW THANK YOU SO MUCH
To find the composition of functions (f o g)(x), we need to substitute the expression of g(x) into f(x) and evaluate it at a given value.
First, let's find g(-5) by substituting -5 into g(x):
g(x) = -4x + 3
g(-5) = -4(-5) + 3
= 20 + 3
= 23
Now, we have g(-5) = 23. We can substitute this value into f(x):
f(x) = -2x - 7
f(g(-5)) = -2(g(-5)) - 7
= -2(23) - 7
= -46 - 7
= -53
Therefore, (f o g)(-5) = -53.
Hence, the correct answer is B) -53.