JSFiddle - React, Tailwind, and code Playground

HTML

<div class="content">
  <h1>Your perfect domain starts here.</h1>
  <form>
		<input type="text" name="domain" placeholder="Search for a domain here.">
    <input type="submit" value="Search">
  </form>
</div>

CSS

.content {
    height: auto;
    margin: auto;
    overflow: hidden;
    max-width: 1100px;
}

.content input[type=text] {
    float: left;
    outline: none;
    height: 50px;
    width: calc(100% - 100px);
    align-self: center;
    border: none;
    padding: 0 0 0 10px;
    box-sizing: border-box;
    background-color: white;
    border-top-left-radius: 3px;
    border-bottom-left-radius: 3px;
}

.content input[type=submit] {
    float: right;
    color: white;
    height: 50px;
    width: 100px;
    border: none;
    font-size: 14px;
    text-transform: uppercase;
    background-color: #4285f4;
    border-top-right-radius: 3px;
    border-bottom-right-radius: 3px;
}

.content input[type=submit]:hover {
    cursor: pointer;
    background-color: #2a75f3;
}
<!DOCTYPE html>