Question

Let ​f(x)=−15x+13 and ​g(x)=x^2+16.

Find ​f(-3​)+​g(-3​).
A) 17
B) 61
C) -43
D) -19

Answer 1

To find f(-3) + g(-3), substitute -3 into f(x) and g(x), and then add the results. The answer is 83.

Step-by-step explanation:

To find f(-3) + g(-3), we need to substitute -3 into the functions f(x) and g(x) and then add the results.

Substituting -3 into f(x) = -15x + 13:

f(-3) = -15(-3) + 13

Simplifying, f(-3) = 45 + 13 = 58

Substituting -3 into g(x) = x^2 + 16:

g(-3) = (-3)^2 + 16

Simplifying, g(-3) = 9 + 16 = 25

Finally, adding the results:

f(-3) + g(-3) = 58 + 25 = 83

Therefore, the answer is 83.