The function f has the property that f(3) = 11. The function g is defined by g(x) = f(x) -… — SAT

The function $f$ has the property that $f(3) = 11$ . The function $g$ is defined by $g(x) = f(x) - 4$ . What is the value of $g(3)$ ?

Answer: 7

The value of

g(3)

is found by substituting

x = 3

into the equation

g(x) = f(x) - 4

, which results in

g(3) = f(3) - 4

. Substituting the given value of

f(3) = 11

yields

g(3) = 11 - 4

, which simplifies to

7

Substitute

x = 3

into the function definition of

g(x)

g(3) = f(3) - 4

To evaluate the function

g

at a specific input, we replace

x

with

3

in the definition

g(x) = f(x) - 4

Substitute the given value of

f(3) = 11

into the equation.

g(3) = 11 - 4

The problem states that the value of

f(3)

is equal to

11

Simplify the expression to find the final value.

g(3) = 7

Subtracting

4

from

11

yields

7

Applying vertical translations using function notation.

Estimated Time:40s

Question