Questions: Evaluate the function f(x)=7x-9 at the given values of the independent variable and simplify. a. f(-2) b. f(x+5) c. f(-x) a. f(-2)=-23 (Simplify your answer.) b. f(x+5)= (Simplify your answer.)

Evaluate the function f(x)=7x-9 at the given values of the independent variable and simplify.
a. f(-2)
b. f(x+5)
c. f(-x)
a. f(-2)=-23 (Simplify your answer.)
b. f(x+5)= (Simplify your answer.)

Transcript text: Evaluate the function $f(x)=7 x-9$ at the given values of the independent variable and simplify. a. $f(-2)$ b. $f(x+5)$ c. $f(-x)$ a. $f(-2)=-23$ (Simplify your answer.) b. $f(x+5)=$ $\square$ (Simplify your answer.)

Solution

Solution Steps

Solution

Given the polynomial function $f(x) = 7x^1-9$

Step 1: Substitution

Substitute $x = -2$ into the polynomial function.

$f(-2) = 7(-2)^1-9$

Step 2: Simplification

After simplification, we get $f(-2) = -23$.

Final Answer:

The value of the polynomial function at $x = -2$ is approximately $-23$.

Solution

Given the polynomial function $f(x) = 7x^1-9$

Step 1: Substitution

Substitute $x = x+5$ into the polynomial function.

$f(x+5) = 7(x+5)^1-9$

Step 2: Simplification

Since $x$ is an algebraic expression, we simplify the expression as much as possible.

This involves distributing multiplication over addition, combining like terms, and applying algebraic identities.

Final Answer:

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