If
f
(
x
)
=
7
x
−
5
f
(
x
)
=
7
x
-
5
, then
f
(
x
+
1
)
=

Given the function \( f(x) = 7x - 5 \), we want to find \( f(x+1) \).

To do this, substitute \( x+1 \) into the function in place of \( x \):

\[
f(x+1) = 7(x+1) - 5
\]

Now simplify:

\[
f(x+1) = 7x + 7 - 5
\]
\[
f(x+1) = 7x + 2
\]

So, \( f(x+1) = 7x + 2 \).

Would you like a more detailed explanation, or do you have any other questions?

Here are 5 related questions for further exploration:
1. What is the value of \( f(2) \) for the given function?
2. How does \( f(x+2) \) compare to \( f(x) \)?
3. Can you find the inverse of \( f(x) = 7x - 5 \)?
4. What is the derivative of \( f(x) = 7x - 5 \)?
5. If \( g(x) = x^2 \), what is \( (f \circ g)(x) \)?

**Tip:** When substituting a variable into a function, be sure to replace **all** instances of the original variable with the new expression.

Learn how to substitute values into a linear function like f(x) = 7x - 5 and find f(x+1). This step-by-step solution helps understand algebraic function substitution and simplifies linear expressions. Ideal for students in Grades 8-10.

Math Problem Statement

If f ( x )

7 x − 5 f ( x )

7 x

5 , then f ( x + 1 )

Solution

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