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If f (x) = 3x - 1 and g (x) = x² + 1, find the following.

a) g(-4) + f(-2) =

b) f(1) - g(0) =

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Sagot :

The value of the functions are:

a. g(-4) + f(-2) = 24

b..  f(1) - g(0) = 1

What is a function?

A function can be defined as an expression showing the relationship between two variables.

Given the functions;

  • f (x) = 3x - 1
  • g (x) = x² + 1

g(-4); substitute the value of x as - 4 in g(x)

g(-4) = (-4)² + 1

g(-4) = 16 + 1

g(-4)  = 17

f(-2); substitute the value of x as - 2 in f(x)

f(-2) = 3(-2) - 1

f(-2 = -7

a.  g(-4) + f(-2) = 17 -(-7)

g(-4) + f(-2) = = 24

f(1) = 3(1) - 1

f(1)  = 2

g(0) = (0)² + 1

g(0) = 1

b. f(1) - g(0) = 2 - 1

f(1) - g(0) = 1

Thus, the value of g(-4) + f(-2) and f(1) - g(0)  are 24 and 1 respectively.

Learn more about functions here:

https://brainly.com/question/17043948

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