Given f(x)=7-2x find f (x+5)
I'm not sure how to approach this problem.
I have done this so far:
F(x+5) = 7-2x
F(x+5)=7-2(x+5)
F(x+5)=7-(2x+10)
Not sure if this is right and what to do next.
f(x)=7-2x
In f(x+5) you have replaced the x with x+5, so do the same thing on the right side
f(x+5) = 7 - 2(x+5)
= 7 - 2x - 10
= -3 - 2x <-----> same as 7-(2x+10) , you had it
Oh. Thank you so much! I am glad that you helped.
To find f(x+5), you are on the right track. Let's go step by step to simplify the expression.
Starting with f(x) = 7 - 2x, we want to find f(x+5). To do that, we need to substitute (x+5) in place of x in the function expression.
So, we replace every occurrence of x in f(x) with (x+5):
f(x+5) = 7 - 2(x+5)
Now, let's simplify the expression inside the parentheses:
f(x+5) = 7 - 2x - 2(5)
Applying the distributive property, multiply -2 with each term inside the parentheses:
f(x+5) = 7 - 2x - 10
Now, combine the constants:
f(x+5) = -3 - 2x
So, the simplified expression for f(x+5) is -3 - 2x.