Let f(x) = -4x + 7 and g(x) = 10x - 6. find f(g(x)).
- 40x + 24, - 40x + 31, - 40x + 64, - 40x + 70

Solution:

f(g(x)) is a composite function, where f takes all the output of g(x) as its inputs.

Step 1: Substitute g(x) into f(x) that is x = 10x - 6.

⇒ f(g(x)) = - 4 (10x - 6) + 7

Step 2: Simplify the equation to get the value.

⇒ f(g(x)) = - 40x + 24 +7

⇒ f(g(x)) = - 40x + 31

Let f(x) = -4x + 7 and g(x) = 10x - 6. find f(g(x)).
- 40x + 24, - 40x + 31, - 40x + 64, - 40x + 70

Summary:

The value of f(g(x)) = - 40x + 31.