Q51. - Algebra 1

Question

CHALLENGE Consider $f\left(x\right)=–4.3x–2$ Writing $f(g+3.5)$ and simplifying by combining like terms.

Step-by-Step Solution

Answer

The simplified form is $f(g+3.5)=-4.3g-17.05$

Step 1. Given.

$f\left(x\right)=-4.3x-2$

Step 2. What to find?

We have to find $f(g+3.5)$ and simplify.

Step 3. Calculation.

Given that $f\left(x\right)=-4.3x-2$

We will replace x by g + 3.5

$\begin{array}{l}f(g+3.5)\\ =-4.3(g+3.5)-2\\ =-4.3g-\left(4.3\right)\left(3.5\right)-2\\ =-4.3g-15.05-2\\ =-4.3g-17.05\end{array}$

Therefore, $f(g+3.5)=-4.3g-17.05$