Question

Suppose f(x) = 4x – 2 and g(x) = -2x + 1. Find the value of f(g(3)).

Answer 1

g(3) = -2(3) + 1
g(3) = -6 + 1 = -5
f(-5) = 4(-5) - 2 
f(-5) = -20 -2
f(-5) = -22
Hence, the value of f(g(3)) is equal to -22.

Answer 2

Value of f(g(3)) is -22.

What is a function?

Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given

f(x) = 4x – 2

g(x) = -2x + 1

Value of f(g(3))

g(x) = -2x + 1

g(3) = -2(3) + 1

g(3) = -6 + 1

g(3) = -5

f(g(3)) = f(-5)

f(x) = 4x – 2

f(-5) = 4(-5) - 2

f(g(3)) = -20 -2

f(g(3)) = -22

Hence, value of f(g(3)) is -22.

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