Evaluate:
a(b(c(d(e(-2)))))
If...
a(x)=15x+1, b(x)=-2x-90, c(x)=4x, d(x)=3x, e(x)=2x
the answer is 91
a(b(c(d(e(-2)))))
If...
a(x)=15x+1, b(x)=-2x-90, c(x)=4x, d(x)=3x, e(x)=2x
d(e) = 3e = 6x
c(d) = 4d = 24x
b(c) = -2c-90 = -48x-90
a(b) = 15b+1 = 15(-48x-90)+1 = -720x--1349
a(b(c(d(e(-2)))) = 1440-1349 = 91
Thank you
To evaluate the expression a(b(c(d(e(-2)))), we need to substitute the given values of a(x), b(x), c(x), d(x), and e(x) into the expression and simplify it step by step.
Let's start by substituting e(x) = 2x into the expression:
a(b(c(d(e(-2))))) = a(b(c(d(2(-2)))))
Next, simplify d(2(-2)):
d(2(-2)) = d(-4) = 3(-4) = -12
Substitute the result into the expression:
a(b(c(-12)))
Now, let's simplify c(-12):
c(-12) = 4(-12) = -48
Substitute the result into the expression:
a(b(-48))
Simplify b(-48):
b(-48) = -2(-48) - 90 = 96 - 90 = 6
Substitute the result into the expression:
a(6)
Finally, simplify a(6):
a(6) = 15(6) + 1 = 90 + 1 = 91
Therefore, the value of a(b(c(d(e(-2))))) when a(x) = 15x+1, b(x) = -2x-90, c(x) = 4x, d(x) = 3x, and e(x) = 2x is 91.