Answer:
a) 7
b) -1
c) 9
Step-by-step explanation:
a) Substitute -1 into the x's of the function.
f(-1) = -5(-1) + 2
f(-1) = 5 + 2
f(-1) = 7
b) f^-1(7) means: find the inverse of the function with 7 substituted as x.
Let y = f(x)
y = -5x + 2
5x = 2 - y
x = 2 - y / 5
f^-1(x) = 2 - x / 5
f^-1(7) = 2 - 7 / 5
f^-1(7) = -5/5
f^-1(7) = -1
c) We have already found the inverse of the- original function. Substitute -43 into the x's of the inverse function.
f^-1(-43) = 2 - (-43) / 5
f^-1(-43) = 2 + 43 / 5
f^-1(-43) = 45/5
f^-1(-43) = 9
