What is the value of (fog)(-5)

f(x)=x-10 ; g(x)=x2-3

a. (fog)(-5)= -38
b. (fog)(-5)=12 <--- ?
c. (fog)(-5)=222
d.(fog)(-5)= -228

g(-5) = 25-3 = 22

f(22) = 22-10 = 12

yes

Thanks... can you help me with this question also?

spencer deposit 540 in a bank account that pays annual simple interest rate of 4.5%. How much interest will he earn after 3 years?

a.about $73.00
b.about $7,290.00
c about $126.00 <-- im not sure.
d.about $200.00

it is simple, not compound, interest

3*.045*540 = 72.9 or about 73

ohhh thanks! sorry for posting this question twice.

To find the value of (fog)(-5), we first need to determine what (fog)(x) means.

The notation (fog)(x) represents the composition of two functions: f and g. In this case, f(x) = x - 10 and g(x) = x^2 - 3.

To find (fog)(-5), we need to substitute (-5) into g(x) and then substitute the result into f(x). Let's go step by step:

Step 1: Evaluate g(-5)
Substituting x = -5 into g(x), we get:
g(-5) = (-5)^2 - 3
= 25 - 3
= 22

Step 2: Evaluate f(g(-5))
Substituting g(-5) = 22 into f(x), we get:
f(g(-5)) = f(22)
= 22 - 10
= 12

Therefore, the value of (fog)(-5) is 12.

So, the correct option is b. (fog)(-5) = 12.