156k views
2 votes
Evaluate the function f left parenthesis x right parenthesis equals 7 x plus 5 at the given values of the independent variable and simplify.a.  f left parenthesis negative 9 right parenthesis      b.  f left parenthesis x plus 5 right parenthesis      c.  f left parenthesis negative x right parenthesisa.  f left parenthesis negative 9 right parenthesisequalsnothing (Simplify your answer.)b.  f left parenthesis x plus 5 right parenthesisequalsnothing (Simplify your answer.)c.  f left parenthesis negative x right parenthesisequalsnothing(Simplify your answer.)

Evaluate the function f left parenthesis x right parenthesis equals 7 x plus 5 at-example-1

1 Answer

2 votes

The given function is:


f(x)=7x+5

a.) To calculate f(-9), substitute x=-9 into the given function and simplify:


\begin{gathered} f(-9)=7(-9)+5 \\ \Rightarrow f(-9)=-63+5=-58 \end{gathered}

It follows that f(-9)=-58.

b.) To calculate f(x+5), replace x with x+5 in the given function and then simplify:


\begin{gathered} f(x+5)=7(x+5)+5 \\ \Rightarrow f(x+5)=7x+35+5 \\ \Rightarrow f(x+5)=7x+40 \end{gathered}

It follows that f(x+5)=7x+40.

c.) To evaluate f(-x), replace x with -x in the given function and evaluate:


\begin{gathered} f(-x)=7(-x)+5_{} \\ \Rightarrow f(-x)=-7x+5 \end{gathered}

Hence, f(-x)=-7x+5.

Evaluate the function f left parenthesis x right parenthesis equals 7 x plus 5 at-example-1
Evaluate the function f left parenthesis x right parenthesis equals 7 x plus 5 at-example-2
User Bachi
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories