If f(x) = 10x + 7 and g(x) = x^2 - 7x, find (f - g)(x)

a. (f - g)(x) = x^2 + 3x + 7
b. (f - g)(x) = 10x^3 - 63x^2 - 49x
c. (f - g)(x) = -x^2 + 17x + 7
d. (f - g)(x) = 10x + 7

C

Step-by-step explanation:

note that (f - g)(x) = f(x) - g(x)

f(x) - g(x)

= 10x + 7 - (x² - 7x) ← distribute parenthesis by - 1

= 10x + 7 - x² + 7x ← collect like terms

= - x² + 17x + 7 → C

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.